Least Common Multiple of 500/448, 908/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/448, 908/992 quickly i.e. 113500/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/448, 908/992 is 113500/32.

LCM(500/448, 908/992) = 113500/32

LCM of 500/448, 908/992

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 500/448,908/992

Given numbers are 500/448,908/992

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 500,908

Least Common Multiple of Numerators i.e. LCM of 500,908 is 113500.

GCF of Denominators means GCF of 448,992 as per the given fractions.

GCF of 448,992 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,908

LCM of Fractions 500/448,908/992 is 113500/32

2 500, 908
2 250, 454
125, 227

∴ So the LCM of the given numbers is 2 x 2 x 125 x 227 = 113500

Least Common Multiple of 500,908 with GCF Formula

Least Common Multiple of 500,908 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 500,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,908) = 4

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

GCF(500,908) x common factors =4 x 1 = 4

LCM(500,908) = ( 500 × 908 ) / 4

LCM(500,908) = 454000 / 4

LCM(500,908) = 113500


Lets's calculate GCF of 448,992

2 448, 992
2 224, 496
2 112, 248
2 56, 124
2 28, 62
14, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113500/32

Therefore the LCM of Fractions 500/448,908/992 is 113500/32

Greatest Common Factor of 448,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,992 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 448,992 . The biggest common factor number is the GCF number.
So the greatest common factor 448,992 is 32.


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 500/448, 908/992

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 500/448, 908/992?

Answer: LCM of Numerators as per given numbers 500/448, 908/992 is

LCM of Numerators i.e. for 500,908 is 113500

GCF of denominators i.e. for 448,992 is 32.

Thus, LCM of Fractions is 113500/32.Finally, LCM of Fractions for 500/448, 908/992 is 113500/32.