Least Common Multiple of 769/971, 3136/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 769/971, 3136/864 quickly i.e. 2411584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/971, 3136/864 is 2411584.

LCM(769/971, 3136/864) = 2411584

LCM of 769/971, 3136/864

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 769/971,3136/864

Given numbers are 769/971,3136/864

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 769,3136

Least Common Multiple of Numerators i.e. LCM of 769,3136 is 2411584.

GCF of Denominators means GCF of 971,864 as per the given fractions.

GCF of 971,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,3136

LCM of Fractions 769/971,3136/864 is 2411584

Given numbers has no common factors except 1. So, there LCM is their product i.e 2411584

Least Common Multiple of 769,3136 with GCF Formula

Least Common Multiple of 769,3136 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 769,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,3136) = 1

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

GCF(769,3136) x common factors =1 x 1 = 1

LCM(769,3136) = ( 769 × 3136 ) / 1

LCM(769,3136) = 2411584 / 1

LCM(769,3136) = 2411584


Lets's calculate GCF of 971,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2411584/1

Therefore the LCM of Fractions 769/971,3136/864 is 2411584

Greatest Common Factor of 971,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,864 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 971,864 . The biggest common factor number is the GCF number.
So the greatest common factor 971,864 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 769/971, 3136/864

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 769/971, 3136/864?

Answer: LCM of Numerators as per given numbers 769/971, 3136/864 is

LCM of Numerators i.e. for 769,3136 is 2411584

GCF of denominators i.e. for 971,864 is 1.

Thus, LCM of Fractions is 2411584.Finally, LCM of Fractions for 769/971, 3136/864 is 2411584.