Least Common Multiple of 64/60, 56/23, 35/68, 58/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/60, 56/23, 35/68, 58/957 quickly i.e. 64960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/60, 56/23, 35/68, 58/957 is 64960.

LCM(64/60, 56/23, 35/68, 58/957) = 64960

LCM of 64/60, 56/23, 35/68, 58/957

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 64/60,56/23,35/68,58/957

Given numbers are 64/60,56/23,35/68,58/957

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 64,56,35,58

Least Common Multiple of Numerators i.e. LCM of 64,56,35,58 is 64960.

GCF of Denominators means GCF of 60,23,68,957 as per the given fractions.

GCF of 60,23,68,957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,56,35,58

LCM of Fractions 64/60,56/23,35/68,58/957 is 64960

2 64, 56, 35, 58
2 32, 28, 35, 29
2 16, 14, 35, 29
7 8, 7, 35, 29
8, 1, 5, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 8 x 1 x 5 x 29 = 64960

Least Common Multiple of 64,56,35,58 with GCF Formula

Least Common Multiple of 64,56,35,58 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 64,56,35,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,56,35,58) = 1

common factors(in case of two or more numbers have common factors) = 112

GCF(64,56,35,58) x common factors =1 x 112 = 112

LCM(64,56,35,58) = ( 64 × 56 × 35 × 58 ) / 112

LCM(64,56,35,58) = 7275520 / 112

LCM(64,56,35,58) = 64960


Lets's calculate GCF of 60,23,68,957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64960/1

Therefore the LCM of Fractions 64/60,56/23,35/68,58/957 is 64960

Greatest Common Factor of 60,23,68,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,23,68,957 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 68

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

1,2,4,17,34,68

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 60,23,68,957 . The biggest common factor number is the GCF number.
So the greatest common factor 60,23,68,957 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 64/60, 56/23, 35/68, 58/957

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 64/60, 56/23, 35/68, 58/957?

Answer: LCM of Numerators as per given numbers 64/60, 56/23, 35/68, 58/957 is

LCM of Numerators i.e. for 64,56,35,58 is 64960

GCF of denominators i.e. for 60,23,68,957 is 1.

Thus, LCM of Fractions is 64960.Finally, LCM of Fractions for 64/60, 56/23, 35/68, 58/957 is 64960.