Least Common Multiple of 45/96, 20/884, 154/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/96, 20/884, 154/324 quickly i.e. 3465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/96, 20/884, 154/324 is 3465.

LCM(45/96, 20/884, 154/324) = 3465

LCM of 45/96, 20/884, 154/324

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 45/96,20/884,154/324

Given numbers are 45/96,20/884,154/324

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 45,20,154

Least Common Multiple of Numerators i.e. LCM of 45,20,154 is 13860.

GCF of Denominators means GCF of 96,884,324 as per the given fractions.

GCF of 96,884,324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,20,154

LCM of Fractions 45/96,20/884,154/324 is 3465

2 45, 20, 154
5 45, 10, 77
9, 2, 77

∴ So the LCM of the given numbers is 2 x 5 x 9 x 2 x 77 = 13860

Least Common Multiple of 45,20,154 with GCF Formula

Least Common Multiple of 45,20,154 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 45,20,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,20,154) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(45,20,154) x common factors =1 x 10 = 10

LCM(45,20,154) = ( 45 × 20 × 154 ) / 10

LCM(45,20,154) = 138600 / 10

LCM(45,20,154) = 13860


Lets's calculate GCF of 96,884,324

2 96, 884, 324
2 48, 442, 162
24, 221, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/4

Therefore the LCM of Fractions 45/96,20/884,154/324 is 3465

Greatest Common Factor of 96,884,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,884,324 By Matching Biggest Common Factor Method

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 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 96,884,324 . The biggest common factor number is the GCF number.
So the greatest common factor 96,884,324 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 45/96, 20/884, 154/324

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 45/96, 20/884, 154/324?

Answer: LCM of Numerators as per given numbers 45/96, 20/884, 154/324 is

LCM of Numerators i.e. for 45,20,154 is 13860

GCF of denominators i.e. for 96,884,324 is 4.

Thus, LCM of Fractions is 3465.Finally, LCM of Fractions for 45/96, 20/884, 154/324 is 3465.