Least Common Multiple of 6962/68, 7719/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6962/68, 7719/834 quickly i.e. 26869839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6962/68, 7719/834 is 26869839.

LCM(6962/68, 7719/834) = 26869839

LCM of 6962/68, 7719/834

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 6962/68,7719/834

Given numbers are 6962/68,7719/834

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 6962,7719

Least Common Multiple of Numerators i.e. LCM of 6962,7719 is 53739678.

GCF of Denominators means GCF of 68,834 as per the given fractions.

GCF of 68,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6962,7719

LCM of Fractions 6962/68,7719/834 is 26869839

Given numbers has no common factors except 1. So, there LCM is their product i.e 53739678

Least Common Multiple of 6962,7719 with GCF Formula

Least Common Multiple of 6962,7719 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 6962,7719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6962,7719) = 1

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

GCF(6962,7719) x common factors =1 x 1 = 1

LCM(6962,7719) = ( 6962 × 7719 ) / 1

LCM(6962,7719) = 53739678 / 1

LCM(6962,7719) = 53739678


Lets's calculate GCF of 68,834

2 68, 834
34, 417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53739678/2

Therefore the LCM of Fractions 6962/68,7719/834 is 26869839

Greatest Common Factor of 68,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,834 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 68,834 . The biggest common factor number is the GCF number.
So the greatest common factor 68,834 is 2.


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Frequently Asked Questions on Fractional LCM of 6962/68, 7719/834

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 6962/68, 7719/834?

Answer: LCM of Numerators as per given numbers 6962/68, 7719/834 is

LCM of Numerators i.e. for 6962,7719 is 53739678

GCF of denominators i.e. for 68,834 is 2.

Thus, LCM of Fractions is 26869839.Finally, LCM of Fractions for 6962/68, 7719/834 is 26869839.