Least Common Multiple of 908/15, 892/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 908/15, 892/649 quickly i.e. 202484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/15, 892/649 is 202484.

LCM(908/15, 892/649) = 202484

LCM of 908/15, 892/649

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 908/15,892/649

Given numbers are 908/15,892/649

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 908,892

Least Common Multiple of Numerators i.e. LCM of 908,892 is 202484.

GCF of Denominators means GCF of 15,649 as per the given fractions.

GCF of 15,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,892

LCM of Fractions 908/15,892/649 is 202484

2 908, 892
2 454, 446
227, 223

∴ So the LCM of the given numbers is 2 x 2 x 227 x 223 = 202484

Least Common Multiple of 908,892 with GCF Formula

Least Common Multiple of 908,892 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 908,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,892) = 4

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

GCF(908,892) x common factors =4 x 1 = 4

LCM(908,892) = ( 908 × 892 ) / 4

LCM(908,892) = 809936 / 4

LCM(908,892) = 202484


Lets's calculate GCF of 15,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202484/1

Therefore the LCM of Fractions 908/15,892/649 is 202484

Greatest Common Factor of 15,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,649 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 15,649 . The biggest common factor number is the GCF number.
So the greatest common factor 15,649 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 908/15, 892/649

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 908/15, 892/649?

Answer: LCM of Numerators as per given numbers 908/15, 892/649 is

LCM of Numerators i.e. for 908,892 is 202484

GCF of denominators i.e. for 15,649 is 1.

Thus, LCM of Fractions is 202484.Finally, LCM of Fractions for 908/15, 892/649 is 202484.