Least Common Multiple of 312/934, 294/610, 771/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/934, 294/610, 771/852 quickly i.e. 1964508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/934, 294/610, 771/852 is 1964508.

LCM(312/934, 294/610, 771/852) = 1964508

LCM of 312/934, 294/610, 771/852

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 312/934,294/610,771/852

Given numbers are 312/934,294/610,771/852

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 312,294,771

Least Common Multiple of Numerators i.e. LCM of 312,294,771 is 3929016.

GCF of Denominators means GCF of 934,610,852 as per the given fractions.

GCF of 934,610,852 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,294,771

LCM of Fractions 312/934,294/610,771/852 is 1964508

2 312, 294, 771
3 156, 147, 771
52, 49, 257

∴ So the LCM of the given numbers is 2 x 3 x 52 x 49 x 257 = 3929016

Least Common Multiple of 312,294,771 with GCF Formula

Least Common Multiple of 312,294,771 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 312,294,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,294,771) = 3

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

GCF(312,294,771) x common factors =3 x 6 = 18

LCM(312,294,771) = ( 312 × 294 × 771 ) / 18

LCM(312,294,771) = 70722288 / 18

LCM(312,294,771) = 3929016


Lets's calculate GCF of 934,610,852

2 934, 610, 852
467, 305, 426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3929016/2

Therefore the LCM of Fractions 312/934,294/610,771/852 is 1964508

Greatest Common Factor of 934,610,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,610,852 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 934,610,852 . The biggest common factor number is the GCF number.
So the greatest common factor 934,610,852 is 2.


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 312/934, 294/610, 771/852

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 312/934, 294/610, 771/852?

Answer: LCM of Numerators as per given numbers 312/934, 294/610, 771/852 is

LCM of Numerators i.e. for 312,294,771 is 3929016

GCF of denominators i.e. for 934,610,852 is 2.

Thus, LCM of Fractions is 1964508.Finally, LCM of Fractions for 312/934, 294/610, 771/852 is 1964508.