Least Common Multiple of 32/951, 30/690, 725/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/951, 30/690, 725/149 quickly i.e. 69600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/951, 30/690, 725/149 is 69600.

LCM(32/951, 30/690, 725/149) = 69600

LCM of 32/951, 30/690, 725/149

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 32/951,30/690,725/149

Given numbers are 32/951,30/690,725/149

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 32,30,725

Least Common Multiple of Numerators i.e. LCM of 32,30,725 is 69600.

GCF of Denominators means GCF of 951,690,149 as per the given fractions.

GCF of 951,690,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,30,725

LCM of Fractions 32/951,30/690,725/149 is 69600

2 32, 30, 725
5 16, 15, 725
16, 3, 145

∴ So the LCM of the given numbers is 2 x 5 x 16 x 3 x 145 = 69600

Least Common Multiple of 32,30,725 with GCF Formula

Least Common Multiple of 32,30,725 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 32,30,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,30,725) = 1

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

GCF(32,30,725) x common factors =1 x 10 = 10

LCM(32,30,725) = ( 32 × 30 × 725 ) / 10

LCM(32,30,725) = 696000 / 10

LCM(32,30,725) = 69600


Lets's calculate GCF of 951,690,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69600/1

Therefore the LCM of Fractions 32/951,30/690,725/149 is 69600

Greatest Common Factor of 951,690,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,690,149 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 951,690,149 . The biggest common factor number is the GCF number.
So the greatest common factor 951,690,149 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 32/951, 30/690, 725/149

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 32/951, 30/690, 725/149?

Answer: LCM of Numerators as per given numbers 32/951, 30/690, 725/149 is

LCM of Numerators i.e. for 32,30,725 is 69600

GCF of denominators i.e. for 951,690,149 is 1.

Thus, LCM of Fractions is 69600.Finally, LCM of Fractions for 32/951, 30/690, 725/149 is 69600.