Least Common Multiple of 20/550, 971/144, 680/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/550, 971/144, 680/988 quickly i.e. 330140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/550, 971/144, 680/988 is 330140.

LCM(20/550, 971/144, 680/988) = 330140

LCM of 20/550, 971/144, 680/988

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 20/550,971/144,680/988

Given numbers are 20/550,971/144,680/988

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 20,971,680

Least Common Multiple of Numerators i.e. LCM of 20,971,680 is 660280.

GCF of Denominators means GCF of 550,144,988 as per the given fractions.

GCF of 550,144,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,971,680

LCM of Fractions 20/550,971/144,680/988 is 330140

2 20, 971, 680
2 10, 971, 340
5 5, 971, 170
1, 971, 34

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 971 x 34 = 660280

Least Common Multiple of 20,971,680 with GCF Formula

Least Common Multiple of 20,971,680 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 20,971,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,971,680) = 1

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

GCF(20,971,680) x common factors =1 x 20 = 20

LCM(20,971,680) = ( 20 × 971 × 680 ) / 20

LCM(20,971,680) = 13205600 / 20

LCM(20,971,680) = 660280


Lets's calculate GCF of 550,144,988

2 550, 144, 988
275, 72, 494

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 660280/2

Therefore the LCM of Fractions 20/550,971/144,680/988 is 330140

Greatest Common Factor of 550,144,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,144,988 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 550,144,988 . The biggest common factor number is the GCF number.
So the greatest common factor 550,144,988 is 2.


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 20/550, 971/144, 680/988

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 20/550, 971/144, 680/988?

Answer: LCM of Numerators as per given numbers 20/550, 971/144, 680/988 is

LCM of Numerators i.e. for 20,971,680 is 660280

GCF of denominators i.e. for 550,144,988 is 2.

Thus, LCM of Fractions is 330140.Finally, LCM of Fractions for 20/550, 971/144, 680/988 is 330140.