Least Common Multiple of 312/30, 707/50, 642/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/30, 707/50, 642/860 quickly i.e. 23602488/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/30, 707/50, 642/860 is 23602488/10.

LCM(312/30, 707/50, 642/860) = 23602488/10

LCM of 312/30, 707/50, 642/860

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 312/30,707/50,642/860

Given numbers are 312/30,707/50,642/860

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 312,707,642

Least Common Multiple of Numerators i.e. LCM of 312,707,642 is 23602488.

GCF of Denominators means GCF of 30,50,860 as per the given fractions.

GCF of 30,50,860 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,707,642

LCM of Fractions 312/30,707/50,642/860 is 23602488/10

2 312, 707, 642
3 156, 707, 321
52, 707, 107

∴ So the LCM of the given numbers is 2 x 3 x 52 x 707 x 107 = 23602488

Least Common Multiple of 312,707,642 with GCF Formula

Least Common Multiple of 312,707,642 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 312,707,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,707,642) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(312,707,642) x common factors =1 x 6 = 6

LCM(312,707,642) = ( 312 × 707 × 642 ) / 6

LCM(312,707,642) = 141614928 / 6

LCM(312,707,642) = 23602488


Lets's calculate GCF of 30,50,860

2 30, 50, 860
5 15, 25, 430
3, 5, 86

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23602488/10

Therefore the LCM of Fractions 312/30,707/50,642/860 is 23602488/10

Greatest Common Factor of 30,50,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,50,860 By Matching Biggest Common Factor Method

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 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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 30,50,860 . The biggest common factor number is the GCF number.
So the greatest common factor 30,50,860 is 10.


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 312/30, 707/50, 642/860

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 312/30, 707/50, 642/860?

Answer: LCM of Numerators as per given numbers 312/30, 707/50, 642/860 is

LCM of Numerators i.e. for 312,707,642 is 23602488

GCF of denominators i.e. for 30,50,860 is 10.

Thus, LCM of Fractions is 23602488/10.Finally, LCM of Fractions for 312/30, 707/50, 642/860 is 23602488/10.