Least Common Multiple of 20/662, 988/718, 824/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/662, 988/718, 824/998 quickly i.e. 508820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/662, 988/718, 824/998 is 508820.

LCM(20/662, 988/718, 824/998) = 508820

LCM of 20/662, 988/718, 824/998

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 20/662,988/718,824/998

Given numbers are 20/662,988/718,824/998

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 20,988,824

Least Common Multiple of Numerators i.e. LCM of 20,988,824 is 1017640.

GCF of Denominators means GCF of 662,718,998 as per the given fractions.

GCF of 662,718,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,988,824

LCM of Fractions 20/662,988/718,824/998 is 508820

2 20, 988, 824
2 10, 494, 412
5, 247, 206

∴ So the LCM of the given numbers is 2 x 2 x 5 x 247 x 206 = 1017640

Least Common Multiple of 20,988,824 with GCF Formula

Least Common Multiple of 20,988,824 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 20,988,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,988,824) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(20,988,824) x common factors =4 x 4 = 16

LCM(20,988,824) = ( 20 × 988 × 824 ) / 16

LCM(20,988,824) = 16282240 / 16

LCM(20,988,824) = 1017640


Lets's calculate GCF of 662,718,998

2 662, 718, 998
331, 359, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1017640/2

Therefore the LCM of Fractions 20/662,988/718,824/998 is 508820

Greatest Common Factor of 662,718,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,718,998 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 662,718,998 . The biggest common factor number is the GCF number.
So the greatest common factor 662,718,998 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 20/662, 988/718, 824/998

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 20/662, 988/718, 824/998?

Answer: LCM of Numerators as per given numbers 20/662, 988/718, 824/998 is

LCM of Numerators i.e. for 20,988,824 is 1017640

GCF of denominators i.e. for 662,718,998 is 2.

Thus, LCM of Fractions is 508820.Finally, LCM of Fractions for 20/662, 988/718, 824/998 is 508820.