Least Common Multiple of 64/679, 96/380, 832/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/679, 96/380, 832/412 quickly i.e. 2496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/679, 96/380, 832/412 is 2496.

LCM(64/679, 96/380, 832/412) = 2496

LCM of 64/679, 96/380, 832/412

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 64/679,96/380,832/412

Given numbers are 64/679,96/380,832/412

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 64,96,832

Least Common Multiple of Numerators i.e. LCM of 64,96,832 is 2496.

GCF of Denominators means GCF of 679,380,412 as per the given fractions.

GCF of 679,380,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,96,832

LCM of Fractions 64/679,96/380,832/412 is 2496

2 64, 96, 832
2 32, 48, 416
2 16, 24, 208
2 8, 12, 104
2 4, 6, 52
2 2, 3, 26
1, 3, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 3 x 13 = 2496

Least Common Multiple of 64,96,832 with GCF Formula

Least Common Multiple of 64,96,832 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 64,96,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,96,832) = 32

common factors(in case of two or more numbers have common factors) = 64

GCF(64,96,832) x common factors =32 x 64 = 2048

LCM(64,96,832) = ( 64 × 96 × 832 ) / 2048

LCM(64,96,832) = 5111808 / 2048

LCM(64,96,832) = 2496


Lets's calculate GCF of 679,380,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2496/1

Therefore the LCM of Fractions 64/679,96/380,832/412 is 2496

Greatest Common Factor of 679,380,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,380,412 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 679,380,412 . The biggest common factor number is the GCF number.
So the greatest common factor 679,380,412 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 64/679, 96/380, 832/412

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 64/679, 96/380, 832/412?

Answer: LCM of Numerators as per given numbers 64/679, 96/380, 832/412 is

LCM of Numerators i.e. for 64,96,832 is 2496

GCF of denominators i.e. for 679,380,412 is 1.

Thus, LCM of Fractions is 2496.Finally, LCM of Fractions for 64/679, 96/380, 832/412 is 2496.