Least Common Multiple of 6962/359, 8729/6512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6962/359, 8729/6512 quickly i.e. 60771298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6962/359, 8729/6512 is 60771298.

LCM(6962/359, 8729/6512) = 60771298

LCM of 6962/359, 8729/6512

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 6962/359,8729/6512

Given numbers are 6962/359,8729/6512

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 6962,8729

Least Common Multiple of Numerators i.e. LCM of 6962,8729 is 60771298.

GCF of Denominators means GCF of 359,6512 as per the given fractions.

GCF of 359,6512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6962,8729

LCM of Fractions 6962/359,8729/6512 is 60771298

Given numbers has no common factors except 1. So, there LCM is their product i.e 60771298

Least Common Multiple of 6962,8729 with GCF Formula

Least Common Multiple of 6962,8729 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 6962,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6962,8729) = 1

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

GCF(6962,8729) x common factors =1 x 1 = 1

LCM(6962,8729) = ( 6962 × 8729 ) / 1

LCM(6962,8729) = 60771298 / 1

LCM(6962,8729) = 60771298


Lets's calculate GCF of 359,6512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60771298/1

Therefore the LCM of Fractions 6962/359,8729/6512 is 60771298

Greatest Common Factor of 359,6512 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,6512 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 6512

List of positive integer factors of 6512 that divides 6512 without a remainder.

1,2,4,8,11,16,22,37,44,74,88,148,176,296,407,592,814,1628,3256,6512

Greatest Common Factor

We found the factors 359,6512 . The biggest common factor number is the GCF number.
So the greatest common factor 359,6512 is 1.


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 6962/359, 8729/6512

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 6962/359, 8729/6512?

Answer: LCM of Numerators as per given numbers 6962/359, 8729/6512 is

LCM of Numerators i.e. for 6962,8729 is 60771298

GCF of denominators i.e. for 359,6512 is 1.

Thus, LCM of Fractions is 60771298.Finally, LCM of Fractions for 6962/359, 8729/6512 is 60771298.