Least Common Multiple of 2158/894, 8928/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2158/894, 8928/264 quickly i.e. 1605552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2158/894, 8928/264 is 1605552.

LCM(2158/894, 8928/264) = 1605552

LCM of 2158/894, 8928/264

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 2158/894,8928/264

Given numbers are 2158/894,8928/264

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 2158,8928

Least Common Multiple of Numerators i.e. LCM of 2158,8928 is 9633312.

GCF of Denominators means GCF of 894,264 as per the given fractions.

GCF of 894,264 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2158,8928

LCM of Fractions 2158/894,8928/264 is 1605552

2 2158, 8928
1079, 4464

∴ So the LCM of the given numbers is 2 x 1079 x 4464 = 9633312

Least Common Multiple of 2158,8928 with GCF Formula

Least Common Multiple of 2158,8928 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 2158,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2158,8928) = 2

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

GCF(2158,8928) x common factors =2 x 1 = 2

LCM(2158,8928) = ( 2158 × 8928 ) / 2

LCM(2158,8928) = 19266624 / 2

LCM(2158,8928) = 9633312


Lets's calculate GCF of 894,264

2 894, 264
3 447, 132
149, 44

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9633312/6

Therefore the LCM of Fractions 2158/894,8928/264 is 1605552

Greatest Common Factor of 894,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,264 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 894,264 . The biggest common factor number is the GCF number.
So the greatest common factor 894,264 is 6.


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 2158/894, 8928/264

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 2158/894, 8928/264?

Answer: LCM of Numerators as per given numbers 2158/894, 8928/264 is

LCM of Numerators i.e. for 2158,8928 is 9633312

GCF of denominators i.e. for 894,264 is 6.

Thus, LCM of Fractions is 1605552.Finally, LCM of Fractions for 2158/894, 8928/264 is 1605552.