Least Common Multiple of 892/64, 251/80, 324/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/64, 251/80, 324/258 quickly i.e. 9067626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/64, 251/80, 324/258 is 9067626.

LCM(892/64, 251/80, 324/258) = 9067626

LCM of 892/64, 251/80, 324/258

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 892/64,251/80,324/258

Given numbers are 892/64,251/80,324/258

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 892,251,324

Least Common Multiple of Numerators i.e. LCM of 892,251,324 is 18135252.

GCF of Denominators means GCF of 64,80,258 as per the given fractions.

GCF of 64,80,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,251,324

LCM of Fractions 892/64,251/80,324/258 is 9067626

2 892, 251, 324
2 446, 251, 162
223, 251, 81

∴ So the LCM of the given numbers is 2 x 2 x 223 x 251 x 81 = 18135252

Least Common Multiple of 892,251,324 with GCF Formula

Least Common Multiple of 892,251,324 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 892,251,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,251,324) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(892,251,324) x common factors =1 x 4 = 4

LCM(892,251,324) = ( 892 × 251 × 324 ) / 4

LCM(892,251,324) = 72541008 / 4

LCM(892,251,324) = 18135252


Lets's calculate GCF of 64,80,258

2 64, 80, 258
32, 40, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18135252/2

Therefore the LCM of Fractions 892/64,251/80,324/258 is 9067626

Greatest Common Factor of 64,80,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,80,258 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 64,80,258 . The biggest common factor number is the GCF number.
So the greatest common factor 64,80,258 is 2.


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 892/64, 251/80, 324/258

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 892/64, 251/80, 324/258?

Answer: LCM of Numerators as per given numbers 892/64, 251/80, 324/258 is

LCM of Numerators i.e. for 892,251,324 is 18135252

GCF of denominators i.e. for 64,80,258 is 2.

Thus, LCM of Fractions is 9067626.Finally, LCM of Fractions for 892/64, 251/80, 324/258 is 9067626.