Least Common Multiple of 970/79, 399/2314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 970/79, 399/2314 quickly i.e. 387030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/79, 399/2314 is 387030.

LCM(970/79, 399/2314) = 387030

LCM of 970/79, 399/2314

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 970/79,399/2314

Given numbers are 970/79,399/2314

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 970,399

Least Common Multiple of Numerators i.e. LCM of 970,399 is 387030.

GCF of Denominators means GCF of 79,2314 as per the given fractions.

GCF of 79,2314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,399

LCM of Fractions 970/79,399/2314 is 387030

Given numbers has no common factors except 1. So, there LCM is their product i.e 387030

Least Common Multiple of 970,399 with GCF Formula

Least Common Multiple of 970,399 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 970,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,399) = 1

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

GCF(970,399) x common factors =1 x 1 = 1

LCM(970,399) = ( 970 × 399 ) / 1

LCM(970,399) = 387030 / 1

LCM(970,399) = 387030


Lets's calculate GCF of 79,2314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387030/1

Therefore the LCM of Fractions 970/79,399/2314 is 387030

Greatest Common Factor of 79,2314 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,2314 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 2314

List of positive integer factors of 2314 that divides 2314 without a remainder.

1,2,13,26,89,178,1157,2314

Greatest Common Factor

We found the factors 79,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 79,2314 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 970/79, 399/2314

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 970/79, 399/2314?

Answer: LCM of Numerators as per given numbers 970/79, 399/2314 is

LCM of Numerators i.e. for 970,399 is 387030

GCF of denominators i.e. for 79,2314 is 1.

Thus, LCM of Fractions is 387030.Finally, LCM of Fractions for 970/79, 399/2314 is 387030.