Least Common Multiple of 20/870, 851/525, 580/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/870, 851/525, 580/985 quickly i.e. 98716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/870, 851/525, 580/985 is 98716.

LCM(20/870, 851/525, 580/985) = 98716

LCM of 20/870, 851/525, 580/985

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 20/870,851/525,580/985

Given numbers are 20/870,851/525,580/985

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 20,851,580

Least Common Multiple of Numerators i.e. LCM of 20,851,580 is 493580.

GCF of Denominators means GCF of 870,525,985 as per the given fractions.

GCF of 870,525,985 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,851,580

LCM of Fractions 20/870,851/525,580/985 is 98716

2 20, 851, 580
2 10, 851, 290
5 5, 851, 145
1, 851, 29

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 851 x 29 = 493580

Least Common Multiple of 20,851,580 with GCF Formula

Least Common Multiple of 20,851,580 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 20,851,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,851,580) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(20,851,580) x common factors =1 x 20 = 20

LCM(20,851,580) = ( 20 × 851 × 580 ) / 20

LCM(20,851,580) = 9871600 / 20

LCM(20,851,580) = 493580


Lets's calculate GCF of 870,525,985

5 870, 525, 985
174, 105, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493580/5

Therefore the LCM of Fractions 20/870,851/525,580/985 is 98716

Greatest Common Factor of 870,525,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,525,985 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 985

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

1,5,197,985

Greatest Common Factor

We found the factors 870,525,985 . The biggest common factor number is the GCF number.
So the greatest common factor 870,525,985 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 20/870, 851/525, 580/985

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 20/870, 851/525, 580/985?

Answer: LCM of Numerators as per given numbers 20/870, 851/525, 580/985 is

LCM of Numerators i.e. for 20,851,580 is 493580

GCF of denominators i.e. for 870,525,985 is 5.

Thus, LCM of Fractions is 98716.Finally, LCM of Fractions for 20/870, 851/525, 580/985 is 98716.