Least Common Multiple of 920/902, 998/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/902, 998/520 quickly i.e. 229540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/902, 998/520 is 229540.

LCM(920/902, 998/520) = 229540

LCM of 920/902, 998/520

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 920/902,998/520

Given numbers are 920/902,998/520

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 920,998

Least Common Multiple of Numerators i.e. LCM of 920,998 is 459080.

GCF of Denominators means GCF of 902,520 as per the given fractions.

GCF of 902,520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,998

LCM of Fractions 920/902,998/520 is 229540

2 920, 998
460, 499

∴ So the LCM of the given numbers is 2 x 460 x 499 = 459080

Least Common Multiple of 920,998 with GCF Formula

Least Common Multiple of 920,998 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 920,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,998) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(920,998) x common factors =2 x 1 = 2

LCM(920,998) = ( 920 × 998 ) / 2

LCM(920,998) = 918160 / 2

LCM(920,998) = 459080


Lets's calculate GCF of 902,520

2 902, 520
451, 260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459080/2

Therefore the LCM of Fractions 920/902,998/520 is 229540

Greatest Common Factor of 902,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,520 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 902,520 . The biggest common factor number is the GCF number.
So the greatest common factor 902,520 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 920/902, 998/520

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 920/902, 998/520?

Answer: LCM of Numerators as per given numbers 920/902, 998/520 is

LCM of Numerators i.e. for 920,998 is 459080

GCF of denominators i.e. for 902,520 is 2.

Thus, LCM of Fractions is 229540.Finally, LCM of Fractions for 920/902, 998/520 is 229540.