Least Common Multiple of 672/748, 142/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 672/748, 142/860 quickly i.e. 11928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/748, 142/860 is 11928.

LCM(672/748, 142/860) = 11928

LCM of 672/748, 142/860

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 672/748,142/860

Given numbers are 672/748,142/860

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 672,142

Least Common Multiple of Numerators i.e. LCM of 672,142 is 47712.

GCF of Denominators means GCF of 748,860 as per the given fractions.

GCF of 748,860 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,142

LCM of Fractions 672/748,142/860 is 11928

2 672, 142
336, 71

∴ So the LCM of the given numbers is 2 x 336 x 71 = 47712

Least Common Multiple of 672,142 with GCF Formula

Least Common Multiple of 672,142 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 672,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,142) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(672,142) x common factors =2 x 1 = 2

LCM(672,142) = ( 672 × 142 ) / 2

LCM(672,142) = 95424 / 2

LCM(672,142) = 47712


Lets's calculate GCF of 748,860

2 748, 860
2 374, 430
187, 215

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47712/4

Therefore the LCM of Fractions 672/748,142/860 is 11928

Greatest Common Factor of 748,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,860 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 748,860 . The biggest common factor number is the GCF number.
So the greatest common factor 748,860 is 4.


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 672/748, 142/860

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 672/748, 142/860?

Answer: LCM of Numerators as per given numbers 672/748, 142/860 is

LCM of Numerators i.e. for 672,142 is 47712

GCF of denominators i.e. for 748,860 is 4.

Thus, LCM of Fractions is 11928.Finally, LCM of Fractions for 672/748, 142/860 is 11928.