Least Common Multiple of 75/58, 56/31, 16/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/58, 56/31, 16/150 quickly i.e. 8400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/58, 56/31, 16/150 is 8400.

LCM(75/58, 56/31, 16/150) = 8400

LCM of 75/58, 56/31, 16/150

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 75/58,56/31,16/150

Given numbers are 75/58,56/31,16/150

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 75,56,16

Least Common Multiple of Numerators i.e. LCM of 75,56,16 is 8400.

GCF of Denominators means GCF of 58,31,150 as per the given fractions.

GCF of 58,31,150 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,56,16

LCM of Fractions 75/58,56/31,16/150 is 8400

2 75, 56, 16
2 75, 28, 8
2 75, 14, 4
75, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 75 x 7 x 2 = 8400

Least Common Multiple of 75,56,16 with GCF Formula

Least Common Multiple of 75,56,16 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 75,56,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,56,16) = 1

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

GCF(75,56,16) x common factors =1 x 8 = 8

LCM(75,56,16) = ( 75 × 56 × 16 ) / 8

LCM(75,56,16) = 67200 / 8

LCM(75,56,16) = 8400


Lets's calculate GCF of 58,31,150

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8400/1

Therefore the LCM of Fractions 75/58,56/31,16/150 is 8400

Greatest Common Factor of 58,31,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,31,150 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 58,31,150 . The biggest common factor number is the GCF number.
So the greatest common factor 58,31,150 is 1.


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 75/58, 56/31, 16/150

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 75/58, 56/31, 16/150?

Answer: LCM of Numerators as per given numbers 75/58, 56/31, 16/150 is

LCM of Numerators i.e. for 75,56,16 is 8400

GCF of denominators i.e. for 58,31,150 is 1.

Thus, LCM of Fractions is 8400.Finally, LCM of Fractions for 75/58, 56/31, 16/150 is 8400.