Least Common Multiple of 976/90, 226/32, 328/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/90, 226/32, 328/404 quickly i.e. 2260904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/90, 226/32, 328/404 is 2260904.

LCM(976/90, 226/32, 328/404) = 2260904

LCM of 976/90, 226/32, 328/404

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 976/90,226/32,328/404

Given numbers are 976/90,226/32,328/404

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 976,226,328

Least Common Multiple of Numerators i.e. LCM of 976,226,328 is 4521808.

GCF of Denominators means GCF of 90,32,404 as per the given fractions.

GCF of 90,32,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,226,328

LCM of Fractions 976/90,226/32,328/404 is 2260904

2 976, 226, 328
2 488, 113, 164
2 244, 113, 82
122, 113, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 113 x 41 = 4521808

Least Common Multiple of 976,226,328 with GCF Formula

Least Common Multiple of 976,226,328 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 976,226,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,226,328) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(976,226,328) x common factors =2 x 8 = 16

LCM(976,226,328) = ( 976 × 226 × 328 ) / 16

LCM(976,226,328) = 72348928 / 16

LCM(976,226,328) = 4521808


Lets's calculate GCF of 90,32,404

2 90, 32, 404
45, 16, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4521808/2

Therefore the LCM of Fractions 976/90,226/32,328/404 is 2260904

Greatest Common Factor of 90,32,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,32,404 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 90,32,404 . The biggest common factor number is the GCF number.
So the greatest common factor 90,32,404 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 976/90, 226/32, 328/404

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 976/90, 226/32, 328/404?

Answer: LCM of Numerators as per given numbers 976/90, 226/32, 328/404 is

LCM of Numerators i.e. for 976,226,328 is 4521808

GCF of denominators i.e. for 90,32,404 is 2.

Thus, LCM of Fractions is 2260904.Finally, LCM of Fractions for 976/90, 226/32, 328/404 is 2260904.