Least Common Multiple of 96/652, 81/420, 826/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/652, 81/420, 826/904 quickly i.e. 267624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/652, 81/420, 826/904 is 267624.

LCM(96/652, 81/420, 826/904) = 267624

LCM of 96/652, 81/420, 826/904

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 96/652,81/420,826/904

Given numbers are 96/652,81/420,826/904

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 96,81,826

Least Common Multiple of Numerators i.e. LCM of 96,81,826 is 1070496.

GCF of Denominators means GCF of 652,420,904 as per the given fractions.

GCF of 652,420,904 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,81,826

LCM of Fractions 96/652,81/420,826/904 is 267624

2 96, 81, 826
3 48, 81, 413
16, 27, 413

∴ So the LCM of the given numbers is 2 x 3 x 16 x 27 x 413 = 1070496

Least Common Multiple of 96,81,826 with GCF Formula

Least Common Multiple of 96,81,826 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 96,81,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,81,826) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,81,826) x common factors =1 x 6 = 6

LCM(96,81,826) = ( 96 × 81 × 826 ) / 6

LCM(96,81,826) = 6422976 / 6

LCM(96,81,826) = 1070496


Lets's calculate GCF of 652,420,904

2 652, 420, 904
2 326, 210, 452
163, 105, 226

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1070496/4

Therefore the LCM of Fractions 96/652,81/420,826/904 is 267624

Greatest Common Factor of 652,420,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,420,904 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 652,420,904 . The biggest common factor number is the GCF number.
So the greatest common factor 652,420,904 is 4.


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 96/652, 81/420, 826/904

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 96/652, 81/420, 826/904?

Answer: LCM of Numerators as per given numbers 96/652, 81/420, 826/904 is

LCM of Numerators i.e. for 96,81,826 is 1070496

GCF of denominators i.e. for 652,420,904 is 4.

Thus, LCM of Fractions is 267624.Finally, LCM of Fractions for 96/652, 81/420, 826/904 is 267624.