Least Common Multiple of 90/985, 57/210, 131/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/985, 57/210, 131/820 quickly i.e. 44802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/985, 57/210, 131/820 is 44802.

LCM(90/985, 57/210, 131/820) = 44802

LCM of 90/985, 57/210, 131/820

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 90/985,57/210,131/820

Given numbers are 90/985,57/210,131/820

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 90,57,131

Least Common Multiple of Numerators i.e. LCM of 90,57,131 is 224010.

GCF of Denominators means GCF of 985,210,820 as per the given fractions.

GCF of 985,210,820 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,57,131

LCM of Fractions 90/985,57/210,131/820 is 44802

3 90, 57, 131
30, 19, 131

∴ So the LCM of the given numbers is 3 x 30 x 19 x 131 = 224010

Least Common Multiple of 90,57,131 with GCF Formula

Least Common Multiple of 90,57,131 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 90,57,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,57,131) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(90,57,131) x common factors =1 x 3 = 3

LCM(90,57,131) = ( 90 × 57 × 131 ) / 3

LCM(90,57,131) = 672030 / 3

LCM(90,57,131) = 224010


Lets's calculate GCF of 985,210,820

5 985, 210, 820
197, 42, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224010/5

Therefore the LCM of Fractions 90/985,57/210,131/820 is 44802

Greatest Common Factor of 985,210,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,210,820 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

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 985,210,820 . The biggest common factor number is the GCF number.
So the greatest common factor 985,210,820 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 90/985, 57/210, 131/820

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 90/985, 57/210, 131/820?

Answer: LCM of Numerators as per given numbers 90/985, 57/210, 131/820 is

LCM of Numerators i.e. for 90,57,131 is 224010

GCF of denominators i.e. for 985,210,820 is 5.

Thus, LCM of Fractions is 44802.Finally, LCM of Fractions for 90/985, 57/210, 131/820 is 44802.