Least Common Multiple of 56/99, 62/68, 51/72, 77/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/99, 62/68, 51/72, 77/137 quickly i.e. 973896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/99, 62/68, 51/72, 77/137 is 973896.

LCM(56/99, 62/68, 51/72, 77/137) = 973896

LCM of 56/99, 62/68, 51/72, 77/137

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 56/99,62/68,51/72,77/137

Given numbers are 56/99,62/68,51/72,77/137

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 56,62,51,77

Least Common Multiple of Numerators i.e. LCM of 56,62,51,77 is 973896.

GCF of Denominators means GCF of 99,68,72,137 as per the given fractions.

GCF of 99,68,72,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,62,51,77

LCM of Fractions 56/99,62/68,51/72,77/137 is 973896

2 56, 62, 51, 77
7 28, 31, 51, 77
4, 31, 51, 11

∴ So the LCM of the given numbers is 2 x 7 x 4 x 31 x 51 x 11 = 973896

Least Common Multiple of 56,62,51,77 with GCF Formula

Least Common Multiple of 56,62,51,77 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 56,62,51,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,62,51,77) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(56,62,51,77) x common factors =1 x 14 = 14

LCM(56,62,51,77) = ( 56 × 62 × 51 × 77 ) / 14

LCM(56,62,51,77) = 13634544 / 14

LCM(56,62,51,77) = 973896


Lets's calculate GCF of 99,68,72,137

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 973896/1

Therefore the LCM of Fractions 56/99,62/68,51/72,77/137 is 973896

Greatest Common Factor of 99,68,72,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,68,72,137 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 99,68,72,137 . The biggest common factor number is the GCF number.
So the greatest common factor 99,68,72,137 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/99, 62/68, 51/72, 77/137

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 56/99, 62/68, 51/72, 77/137?

Answer: LCM of Numerators as per given numbers 56/99, 62/68, 51/72, 77/137 is

LCM of Numerators i.e. for 56,62,51,77 is 973896

GCF of denominators i.e. for 99,68,72,137 is 1.

Thus, LCM of Fractions is 973896.Finally, LCM of Fractions for 56/99, 62/68, 51/72, 77/137 is 973896.