Least Common Multiple of 31/818, 614/196, 491/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/818, 614/196, 491/938 quickly i.e. 4672847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/818, 614/196, 491/938 is 4672847.

LCM(31/818, 614/196, 491/938) = 4672847

LCM of 31/818, 614/196, 491/938

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 31/818,614/196,491/938

Given numbers are 31/818,614/196,491/938

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 31,614,491

Least Common Multiple of Numerators i.e. LCM of 31,614,491 is 9345694.

GCF of Denominators means GCF of 818,196,938 as per the given fractions.

GCF of 818,196,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,614,491

LCM of Fractions 31/818,614/196,491/938 is 4672847

Given numbers has no common factors except 1. So, there LCM is their product i.e 9345694

Least Common Multiple of 31,614,491 with GCF Formula

Least Common Multiple of 31,614,491 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 31,614,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,614,491) = 1

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

GCF(31,614,491) x common factors =1 x 1 = 1

LCM(31,614,491) = ( 31 × 614 × 491 ) / 1

LCM(31,614,491) = 9345694 / 1

LCM(31,614,491) = 9345694


Lets's calculate GCF of 818,196,938

2 818, 196, 938
409, 98, 469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9345694/2

Therefore the LCM of Fractions 31/818,614/196,491/938 is 4672847

Greatest Common Factor of 818,196,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,196,938 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 818,196,938 . The biggest common factor number is the GCF number.
So the greatest common factor 818,196,938 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 31/818, 614/196, 491/938

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 31/818, 614/196, 491/938?

Answer: LCM of Numerators as per given numbers 31/818, 614/196, 491/938 is

LCM of Numerators i.e. for 31,614,491 is 9345694

GCF of denominators i.e. for 818,196,938 is 2.

Thus, LCM of Fractions is 4672847.Finally, LCM of Fractions for 31/818, 614/196, 491/938 is 4672847.