Least Common Multiple of 56/65, 14/58, 63/30, 76/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/65, 14/58, 63/30, 76/77 quickly i.e. 9576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/65, 14/58, 63/30, 76/77 is 9576.

LCM(56/65, 14/58, 63/30, 76/77) = 9576

LCM of 56/65, 14/58, 63/30, 76/77

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 56/65,14/58,63/30,76/77

Given numbers are 56/65,14/58,63/30,76/77

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 56,14,63,76

Least Common Multiple of Numerators i.e. LCM of 56,14,63,76 is 9576.

GCF of Denominators means GCF of 65,58,30,77 as per the given fractions.

GCF of 65,58,30,77 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,14,63,76

LCM of Fractions 56/65,14/58,63/30,76/77 is 9576

2 56, 14, 63, 76
2 28, 7, 63, 38
7 14, 7, 63, 19
2, 1, 9, 19

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 1 x 9 x 19 = 9576

Least Common Multiple of 56,14,63,76 with GCF Formula

Least Common Multiple of 56,14,63,76 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 56,14,63,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,14,63,76) = 1

common factors(in case of two or more numbers have common factors) = 392

GCF(56,14,63,76) x common factors =1 x 392 = 392

LCM(56,14,63,76) = ( 56 × 14 × 63 × 76 ) / 392

LCM(56,14,63,76) = 3753792 / 392

LCM(56,14,63,76) = 9576


Lets's calculate GCF of 65,58,30,77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9576/1

Therefore the LCM of Fractions 56/65,14/58,63/30,76/77 is 9576

Greatest Common Factor of 65,58,30,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,58,30,77 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 65,58,30,77 . The biggest common factor number is the GCF number.
So the greatest common factor 65,58,30,77 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 56/65, 14/58, 63/30, 76/77

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 56/65, 14/58, 63/30, 76/77?

Answer: LCM of Numerators as per given numbers 56/65, 14/58, 63/30, 76/77 is

LCM of Numerators i.e. for 56,14,63,76 is 9576

GCF of denominators i.e. for 65,58,30,77 is 1.

Thus, LCM of Fractions is 9576.Finally, LCM of Fractions for 56/65, 14/58, 63/30, 76/77 is 9576.