Least Common Multiple of 32/87, 30/125, 707/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/87, 30/125, 707/820 quickly i.e. 339360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/87, 30/125, 707/820 is 339360.

LCM(32/87, 30/125, 707/820) = 339360

LCM of 32/87, 30/125, 707/820

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 32/87,30/125,707/820

Given numbers are 32/87,30/125,707/820

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 32,30,707

Least Common Multiple of Numerators i.e. LCM of 32,30,707 is 339360.

GCF of Denominators means GCF of 87,125,820 as per the given fractions.

GCF of 87,125,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,30,707

LCM of Fractions 32/87,30/125,707/820 is 339360

2 32, 30, 707
16, 15, 707

∴ So the LCM of the given numbers is 2 x 16 x 15 x 707 = 339360

Least Common Multiple of 32,30,707 with GCF Formula

Least Common Multiple of 32,30,707 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 32,30,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,30,707) = 1

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

GCF(32,30,707) x common factors =1 x 2 = 2

LCM(32,30,707) = ( 32 × 30 × 707 ) / 2

LCM(32,30,707) = 678720 / 2

LCM(32,30,707) = 339360


Lets's calculate GCF of 87,125,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339360/1

Therefore the LCM of Fractions 32/87,30/125,707/820 is 339360

Greatest Common Factor of 87,125,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,125,820 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 87,125,820 . The biggest common factor number is the GCF number.
So the greatest common factor 87,125,820 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/87, 30/125, 707/820

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 32/87, 30/125, 707/820?

Answer: LCM of Numerators as per given numbers 32/87, 30/125, 707/820 is

LCM of Numerators i.e. for 32,30,707 is 339360

GCF of denominators i.e. for 87,125,820 is 1.

Thus, LCM of Fractions is 339360.Finally, LCM of Fractions for 32/87, 30/125, 707/820 is 339360.