Least Common Multiple of 20/87, 10/665, 573/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/87, 10/665, 573/770 quickly i.e. 11460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/87, 10/665, 573/770 is 11460.

LCM(20/87, 10/665, 573/770) = 11460

LCM of 20/87, 10/665, 573/770

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 20/87,10/665,573/770

Given numbers are 20/87,10/665,573/770

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 20,10,573

Least Common Multiple of Numerators i.e. LCM of 20,10,573 is 11460.

GCF of Denominators means GCF of 87,665,770 as per the given fractions.

GCF of 87,665,770 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,10,573

LCM of Fractions 20/87,10/665,573/770 is 11460

2 20, 10, 573
5 10, 5, 573
2, 1, 573

∴ So the LCM of the given numbers is 2 x 5 x 2 x 1 x 573 = 11460

Least Common Multiple of 20,10,573 with GCF Formula

Least Common Multiple of 20,10,573 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 20,10,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,10,573) = 1

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

GCF(20,10,573) x common factors =1 x 10 = 10

LCM(20,10,573) = ( 20 × 10 × 573 ) / 10

LCM(20,10,573) = 114600 / 10

LCM(20,10,573) = 11460


Lets's calculate GCF of 87,665,770

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11460/1

Therefore the LCM of Fractions 20/87,10/665,573/770 is 11460

Greatest Common Factor of 87,665,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,665,770 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 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 87,665,770 . The biggest common factor number is the GCF number.
So the greatest common factor 87,665,770 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 20/87, 10/665, 573/770

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 20/87, 10/665, 573/770?

Answer: LCM of Numerators as per given numbers 20/87, 10/665, 573/770 is

LCM of Numerators i.e. for 20,10,573 is 11460

GCF of denominators i.e. for 87,665,770 is 1.

Thus, LCM of Fractions is 11460.Finally, LCM of Fractions for 20/87, 10/665, 573/770 is 11460.