Least Common Multiple of 491/62, 167/78, 496/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/62, 167/78, 496/918 quickly i.e. 20335256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/62, 167/78, 496/918 is 20335256.

LCM(491/62, 167/78, 496/918) = 20335256

LCM of 491/62, 167/78, 496/918

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 491/62,167/78,496/918

Given numbers are 491/62,167/78,496/918

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 491,167,496

Least Common Multiple of Numerators i.e. LCM of 491,167,496 is 40670512.

GCF of Denominators means GCF of 62,78,918 as per the given fractions.

GCF of 62,78,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,167,496

LCM of Fractions 491/62,167/78,496/918 is 20335256

Given numbers has no common factors except 1. So, there LCM is their product i.e 40670512

Least Common Multiple of 491,167,496 with GCF Formula

Least Common Multiple of 491,167,496 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 491,167,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,167,496) = 1

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

GCF(491,167,496) x common factors =1 x 1 = 1

LCM(491,167,496) = ( 491 × 167 × 496 ) / 1

LCM(491,167,496) = 40670512 / 1

LCM(491,167,496) = 40670512


Lets's calculate GCF of 62,78,918

2 62, 78, 918
31, 39, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40670512/2

Therefore the LCM of Fractions 491/62,167/78,496/918 is 20335256

Greatest Common Factor of 62,78,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,78,918 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 62,78,918 . The biggest common factor number is the GCF number.
So the greatest common factor 62,78,918 is 2.


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 491/62, 167/78, 496/918

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 491/62, 167/78, 496/918?

Answer: LCM of Numerators as per given numbers 491/62, 167/78, 496/918 is

LCM of Numerators i.e. for 491,167,496 is 40670512

GCF of denominators i.e. for 62,78,918 is 2.

Thus, LCM of Fractions is 20335256.Finally, LCM of Fractions for 491/62, 167/78, 496/918 is 20335256.