How do you use HCF and LCM in word problems?
Word problems on H.C.F. and L.C.M.
- Therefore, least common multiple (L.C.M.) of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260.
- Therefore, the required number = 1260 – 19 = 1241.
- Highest common factor (H.C.F.) of 90 and 162 = 18.
- Relationship between H.C.F. and L.C.M.
- Worksheet on H.C.F. and L.C.M.
How do you find the HCF of a word problem?
Word Problems on H.C.F.
- Two wires are 12 m and 16 m long. The wires are to be cut into pieces of equal length.
- Find the greatest number which is less by 2 to divide 24, 28 and 64 exactly.
- Find the greatest number that divides 90 and 126 exactly.
- Rachel has 24 red candies and Maya has 18 green candies.
What is HCF and LCM for Grade 5?
The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.
What is an example of a LCM word problem?
Find the lowest number which is more by 6 to be divided by 25, 40 and 60 exactly. We find the L.C.M. of 25, 40 and 60. Therefore, the required number is 600 + 6 = 606.
What is HCF problem?
H.C.F of two or more numbers is the greatest number which divides each number exactly. 5) L.C.M.: (Lowest common multiple). The least number exactly divisible by each one of the given numbers is called least common multiple….Hint:
| H.C.F. = | H.C.F. of 2, 16, 8 |
|---|---|
| L.C.M. of 3, 81, 9 |
How do you explain HCF and LCM?
The least common multiple (LCM) of two or more numbers is the smallest number among all the common multiples of the given numbers, whereas, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
How is LCM calculated?
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
What is HCF and example?
HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers. For example, consider the numbers 30 (2 x 3 x 5), 36 (2 x 2 x 3 x 3), 42 (2 x 3 x 7), 45 (3 x 3 x 5). 3 is the largest number that divides each of these numbers, and hence, is the HCF for these numbers.
