Least Common Multiple of 6961/959, 1687/1402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6961/959, 1687/1402 quickly i.e. 11743207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6961/959, 1687/1402 is 11743207.

LCM(6961/959, 1687/1402) = 11743207

LCM of 6961/959, 1687/1402

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 6961/959,1687/1402

Given numbers are 6961/959,1687/1402

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 6961,1687

Least Common Multiple of Numerators i.e. LCM of 6961,1687 is 11743207.

GCF of Denominators means GCF of 959,1402 as per the given fractions.

GCF of 959,1402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6961,1687

LCM of Fractions 6961/959,1687/1402 is 11743207

Given numbers has no common factors except 1. So, there LCM is their product i.e 11743207

Least Common Multiple of 6961,1687 with GCF Formula

Least Common Multiple of 6961,1687 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 6961,1687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6961,1687) = 1

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

GCF(6961,1687) x common factors =1 x 1 = 1

LCM(6961,1687) = ( 6961 × 1687 ) / 1

LCM(6961,1687) = 11743207 / 1

LCM(6961,1687) = 11743207


Lets's calculate GCF of 959,1402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11743207/1

Therefore the LCM of Fractions 6961/959,1687/1402 is 11743207

Greatest Common Factor of 959,1402 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,1402 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1,2,701,1402

Greatest Common Factor

We found the factors 959,1402 . The biggest common factor number is the GCF number.
So the greatest common factor 959,1402 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6961/959, 1687/1402

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 6961/959, 1687/1402?

Answer: LCM of Numerators as per given numbers 6961/959, 1687/1402 is

LCM of Numerators i.e. for 6961,1687 is 11743207

GCF of denominators i.e. for 959,1402 is 1.

Thus, LCM of Fractions is 11743207.Finally, LCM of Fractions for 6961/959, 1687/1402 is 11743207.