Least Common Multiple of 468/32, 150/5564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/32, 150/5564 quickly i.e. 2925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/32, 150/5564 is 2925.

LCM(468/32, 150/5564) = 2925

LCM of 468/32, 150/5564

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 468/32,150/5564

Given numbers are 468/32,150/5564

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 468,150

Least Common Multiple of Numerators i.e. LCM of 468,150 is 11700.

GCF of Denominators means GCF of 32,5564 as per the given fractions.

GCF of 32,5564 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,150

LCM of Fractions 468/32,150/5564 is 2925

2 468, 150
3 234, 75
78, 25

∴ So the LCM of the given numbers is 2 x 3 x 78 x 25 = 11700

Least Common Multiple of 468,150 with GCF Formula

Least Common Multiple of 468,150 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 468,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,150) = 6

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

GCF(468,150) x common factors =6 x 1 = 6

LCM(468,150) = ( 468 × 150 ) / 6

LCM(468,150) = 70200 / 6

LCM(468,150) = 11700


Lets's calculate GCF of 32,5564

2 32, 5564
2 16, 2782
8, 1391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11700/4

Therefore the LCM of Fractions 468/32,150/5564 is 2925

Greatest Common Factor of 32,5564 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,5564 By Matching Biggest Common Factor Method

Factors of 32

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

1,2,4,8,16,32

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1,2,4,13,26,52,107,214,428,1391,2782,5564

Greatest Common Factor

We found the factors 32,5564 . The biggest common factor number is the GCF number.
So the greatest common factor 32,5564 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 468/32, 150/5564

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 468/32, 150/5564?

Answer: LCM of Numerators as per given numbers 468/32, 150/5564 is

LCM of Numerators i.e. for 468,150 is 11700

GCF of denominators i.e. for 32,5564 is 4.

Thus, LCM of Fractions is 2925.Finally, LCM of Fractions for 468/32, 150/5564 is 2925.