Least Common Multiple of 32/95, 85/55, 138/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/95, 85/55, 138/880 quickly i.e. 37536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/95, 85/55, 138/880 is 37536.

LCM(32/95, 85/55, 138/880) = 37536

LCM of 32/95, 85/55, 138/880

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 32/95,85/55,138/880

Given numbers are 32/95,85/55,138/880

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 32,85,138

Least Common Multiple of Numerators i.e. LCM of 32,85,138 is 187680.

GCF of Denominators means GCF of 95,55,880 as per the given fractions.

GCF of 95,55,880 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,85,138

LCM of Fractions 32/95,85/55,138/880 is 37536

2 32, 85, 138
16, 85, 69

∴ So the LCM of the given numbers is 2 x 16 x 85 x 69 = 187680

Least Common Multiple of 32,85,138 with GCF Formula

Least Common Multiple of 32,85,138 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 32,85,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,85,138) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,85,138) x common factors =1 x 2 = 2

LCM(32,85,138) = ( 32 × 85 × 138 ) / 2

LCM(32,85,138) = 375360 / 2

LCM(32,85,138) = 187680


Lets's calculate GCF of 95,55,880

5 95, 55, 880
19, 11, 176

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187680/5

Therefore the LCM of Fractions 32/95,85/55,138/880 is 37536

Greatest Common Factor of 95,55,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,55,880 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 95,55,880 . The biggest common factor number is the GCF number.
So the greatest common factor 95,55,880 is 5.


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 32/95, 85/55, 138/880

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 32/95, 85/55, 138/880?

Answer: LCM of Numerators as per given numbers 32/95, 85/55, 138/880 is

LCM of Numerators i.e. for 32,85,138 is 187680

GCF of denominators i.e. for 95,55,880 is 5.

Thus, LCM of Fractions is 37536.Finally, LCM of Fractions for 32/95, 85/55, 138/880 is 37536.