Least Common Multiple of 88/84, 468/96, 976/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/84, 468/96, 976/900 quickly i.e. 104676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/84, 468/96, 976/900 is 104676.

LCM(88/84, 468/96, 976/900) = 104676

LCM of 88/84, 468/96, 976/900

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 88/84,468/96,976/900

Given numbers are 88/84,468/96,976/900

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 88,468,976

Least Common Multiple of Numerators i.e. LCM of 88,468,976 is 1256112.

GCF of Denominators means GCF of 84,96,900 as per the given fractions.

GCF of 84,96,900 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,468,976

LCM of Fractions 88/84,468/96,976/900 is 104676

2 88, 468, 976
2 44, 234, 488
2 22, 117, 244
11, 117, 122

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 117 x 122 = 1256112

Least Common Multiple of 88,468,976 with GCF Formula

Least Common Multiple of 88,468,976 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 88,468,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,468,976) = 4

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

GCF(88,468,976) x common factors =4 x 8 = 32

LCM(88,468,976) = ( 88 × 468 × 976 ) / 32

LCM(88,468,976) = 40195584 / 32

LCM(88,468,976) = 1256112


Lets's calculate GCF of 84,96,900

2 84, 96, 900
2 42, 48, 450
3 21, 24, 225
7, 8, 75

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1256112/12

Therefore the LCM of Fractions 88/84,468/96,976/900 is 104676

Greatest Common Factor of 84,96,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,96,900 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 84,96,900 . The biggest common factor number is the GCF number.
So the greatest common factor 84,96,900 is 12.


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 88/84, 468/96, 976/900

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 88/84, 468/96, 976/900?

Answer: LCM of Numerators as per given numbers 88/84, 468/96, 976/900 is

LCM of Numerators i.e. for 88,468,976 is 1256112

GCF of denominators i.e. for 84,96,900 is 12.

Thus, LCM of Fractions is 104676.Finally, LCM of Fractions for 88/84, 468/96, 976/900 is 104676.