Least Common Multiple of 31/357, 3196/2354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/357, 3196/2354 quickly i.e. 99076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/357, 3196/2354 is 99076.

LCM(31/357, 3196/2354) = 99076

LCM of 31/357, 3196/2354

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 31/357,3196/2354

Given numbers are 31/357,3196/2354

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 31,3196

Least Common Multiple of Numerators i.e. LCM of 31,3196 is 99076.

GCF of Denominators means GCF of 357,2354 as per the given fractions.

GCF of 357,2354 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,3196

LCM of Fractions 31/357,3196/2354 is 99076

Given numbers has no common factors except 1. So, there LCM is their product i.e 99076

Least Common Multiple of 31,3196 with GCF Formula

Least Common Multiple of 31,3196 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 31,3196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,3196) = 1

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

GCF(31,3196) x common factors =1 x 1 = 1

LCM(31,3196) = ( 31 × 3196 ) / 1

LCM(31,3196) = 99076 / 1

LCM(31,3196) = 99076


Lets's calculate GCF of 357,2354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99076/1

Therefore the LCM of Fractions 31/357,3196/2354 is 99076

Greatest Common Factor of 357,2354 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,2354 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 2354

List of positive integer factors of 2354 that divides 2354 without a remainder.

1,2,11,22,107,214,1177,2354

Greatest Common Factor

We found the factors 357,2354 . The biggest common factor number is the GCF number.
So the greatest common factor 357,2354 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/357, 3196/2354

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 31/357, 3196/2354?

Answer: LCM of Numerators as per given numbers 31/357, 3196/2354 is

LCM of Numerators i.e. for 31,3196 is 99076

GCF of denominators i.e. for 357,2354 is 1.

Thus, LCM of Fractions is 99076.Finally, LCM of Fractions for 31/357, 3196/2354 is 99076.