Least Common Multiple of 49/232, 88/324, 220/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/232, 88/324, 220/132 quickly i.e. 5390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/232, 88/324, 220/132 is 5390.

LCM(49/232, 88/324, 220/132) = 5390

LCM of 49/232, 88/324, 220/132

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 49/232,88/324,220/132

Given numbers are 49/232,88/324,220/132

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 49,88,220

Least Common Multiple of Numerators i.e. LCM of 49,88,220 is 21560.

GCF of Denominators means GCF of 232,324,132 as per the given fractions.

GCF of 232,324,132 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,88,220

LCM of Fractions 49/232,88/324,220/132 is 5390

2 49, 88, 220
2 49, 44, 110
11 49, 22, 55
49, 2, 5

∴ So the LCM of the given numbers is 2 x 2 x 11 x 49 x 2 x 5 = 21560

Least Common Multiple of 49,88,220 with GCF Formula

Least Common Multiple of 49,88,220 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 49,88,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,88,220) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(49,88,220) x common factors =1 x 44 = 44

LCM(49,88,220) = ( 49 × 88 × 220 ) / 44

LCM(49,88,220) = 948640 / 44

LCM(49,88,220) = 21560


Lets's calculate GCF of 232,324,132

2 232, 324, 132
2 116, 162, 66
58, 81, 33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21560/4

Therefore the LCM of Fractions 49/232,88/324,220/132 is 5390

Greatest Common Factor of 232,324,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,324,132 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

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

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 232,324,132 . The biggest common factor number is the GCF number.
So the greatest common factor 232,324,132 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 49/232, 88/324, 220/132

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 49/232, 88/324, 220/132?

Answer: LCM of Numerators as per given numbers 49/232, 88/324, 220/132 is

LCM of Numerators i.e. for 49,88,220 is 21560

GCF of denominators i.e. for 232,324,132 is 4.

Thus, LCM of Fractions is 5390.Finally, LCM of Fractions for 49/232, 88/324, 220/132 is 5390.