Least Common Multiple of 908/489, 586/891, 748/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 908/489, 586/891, 748/813 quickly i.e. 49750228/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/489, 586/891, 748/813 is 49750228/3.

LCM(908/489, 586/891, 748/813) = 49750228/3

LCM of 908/489, 586/891, 748/813

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 908/489,586/891,748/813

Given numbers are 908/489,586/891,748/813

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 908,586,748

Least Common Multiple of Numerators i.e. LCM of 908,586,748 is 49750228.

GCF of Denominators means GCF of 489,891,813 as per the given fractions.

GCF of 489,891,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,586,748

LCM of Fractions 908/489,586/891,748/813 is 49750228/3

2 908, 586, 748
2 454, 293, 374
227, 293, 187

∴ So the LCM of the given numbers is 2 x 2 x 227 x 293 x 187 = 49750228

Least Common Multiple of 908,586,748 with GCF Formula

Least Common Multiple of 908,586,748 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 908,586,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,586,748) = 2

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

GCF(908,586,748) x common factors =2 x 4 = 8

LCM(908,586,748) = ( 908 × 586 × 748 ) / 8

LCM(908,586,748) = 398001824 / 8

LCM(908,586,748) = 49750228


Lets's calculate GCF of 489,891,813

3 489, 891, 813
163, 297, 271

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49750228/3

Therefore the LCM of Fractions 908/489,586/891,748/813 is 49750228/3

Greatest Common Factor of 489,891,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,891,813 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 489,891,813 . The biggest common factor number is the GCF number.
So the greatest common factor 489,891,813 is 3.


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 908/489, 586/891, 748/813

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 908/489, 586/891, 748/813?

Answer: LCM of Numerators as per given numbers 908/489, 586/891, 748/813 is

LCM of Numerators i.e. for 908,586,748 is 49750228

GCF of denominators i.e. for 489,891,813 is 3.

Thus, LCM of Fractions is 49750228/3.Finally, LCM of Fractions for 908/489, 586/891, 748/813 is 49750228/3.