Least Common Multiple of 149/52, 489/65, 703/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/52, 489/65, 703/886 quickly i.e. 51221283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/52, 489/65, 703/886 is 51221283.

LCM(149/52, 489/65, 703/886) = 51221283

LCM of 149/52, 489/65, 703/886

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 149/52,489/65,703/886

Given numbers are 149/52,489/65,703/886

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 149,489,703

Least Common Multiple of Numerators i.e. LCM of 149,489,703 is 51221283.

GCF of Denominators means GCF of 52,65,886 as per the given fractions.

GCF of 52,65,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,489,703

LCM of Fractions 149/52,489/65,703/886 is 51221283

Given numbers has no common factors except 1. So, there LCM is their product i.e 51221283

Least Common Multiple of 149,489,703 with GCF Formula

Least Common Multiple of 149,489,703 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 149,489,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,489,703) = 1

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

GCF(149,489,703) x common factors =1 x 1 = 1

LCM(149,489,703) = ( 149 × 489 × 703 ) / 1

LCM(149,489,703) = 51221283 / 1

LCM(149,489,703) = 51221283


Lets's calculate GCF of 52,65,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51221283/1

Therefore the LCM of Fractions 149/52,489/65,703/886 is 51221283

Greatest Common Factor of 52,65,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,65,886 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 52,65,886 . The biggest common factor number is the GCF number.
So the greatest common factor 52,65,886 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 149/52, 489/65, 703/886

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 149/52, 489/65, 703/886?

Answer: LCM of Numerators as per given numbers 149/52, 489/65, 703/886 is

LCM of Numerators i.e. for 149,489,703 is 51221283

GCF of denominators i.e. for 52,65,886 is 1.

Thus, LCM of Fractions is 51221283.Finally, LCM of Fractions for 149/52, 489/65, 703/886 is 51221283.