Least Common Multiple of 952/689, 489/456, 262/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 952/689, 489/456, 262/494 quickly i.e. 60984168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/689, 489/456, 262/494 is 60984168.

LCM(952/689, 489/456, 262/494) = 60984168

LCM of 952/689, 489/456, 262/494

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 952/689,489/456,262/494

Given numbers are 952/689,489/456,262/494

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 952,489,262

Least Common Multiple of Numerators i.e. LCM of 952,489,262 is 60984168.

GCF of Denominators means GCF of 689,456,494 as per the given fractions.

GCF of 689,456,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,489,262

LCM of Fractions 952/689,489/456,262/494 is 60984168

2 952, 489, 262
476, 489, 131

∴ So the LCM of the given numbers is 2 x 476 x 489 x 131 = 60984168

Least Common Multiple of 952,489,262 with GCF Formula

Least Common Multiple of 952,489,262 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 952,489,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,489,262) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(952,489,262) x common factors =1 x 2 = 2

LCM(952,489,262) = ( 952 × 489 × 262 ) / 2

LCM(952,489,262) = 121968336 / 2

LCM(952,489,262) = 60984168


Lets's calculate GCF of 689,456,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60984168/1

Therefore the LCM of Fractions 952/689,489/456,262/494 is 60984168

Greatest Common Factor of 689,456,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,456,494 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 689,456,494 . The biggest common factor number is the GCF number.
So the greatest common factor 689,456,494 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 952/689, 489/456, 262/494

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 952/689, 489/456, 262/494?

Answer: LCM of Numerators as per given numbers 952/689, 489/456, 262/494 is

LCM of Numerators i.e. for 952,489,262 is 60984168

GCF of denominators i.e. for 689,456,494 is 1.

Thus, LCM of Fractions is 60984168.Finally, LCM of Fractions for 952/689, 489/456, 262/494 is 60984168.