Least Common Multiple of 618/21, 812/49, 997/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/21, 812/49, 997/965 quickly i.e. 250155276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/21, 812/49, 997/965 is 250155276.

LCM(618/21, 812/49, 997/965) = 250155276

LCM of 618/21, 812/49, 997/965

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 618/21,812/49,997/965

Given numbers are 618/21,812/49,997/965

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 618,812,997

Least Common Multiple of Numerators i.e. LCM of 618,812,997 is 250155276.

GCF of Denominators means GCF of 21,49,965 as per the given fractions.

GCF of 21,49,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,812,997

LCM of Fractions 618/21,812/49,997/965 is 250155276

2 618, 812, 997
309, 406, 997

∴ So the LCM of the given numbers is 2 x 309 x 406 x 997 = 250155276

Least Common Multiple of 618,812,997 with GCF Formula

Least Common Multiple of 618,812,997 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 618,812,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,812,997) = 1

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

GCF(618,812,997) x common factors =1 x 2 = 2

LCM(618,812,997) = ( 618 × 812 × 997 ) / 2

LCM(618,812,997) = 500310552 / 2

LCM(618,812,997) = 250155276


Lets's calculate GCF of 21,49,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250155276/1

Therefore the LCM of Fractions 618/21,812/49,997/965 is 250155276

Greatest Common Factor of 21,49,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,49,965 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 21,49,965 . The biggest common factor number is the GCF number.
So the greatest common factor 21,49,965 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 618/21, 812/49, 997/965

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 618/21, 812/49, 997/965?

Answer: LCM of Numerators as per given numbers 618/21, 812/49, 997/965 is

LCM of Numerators i.e. for 618,812,997 is 250155276

GCF of denominators i.e. for 21,49,965 is 1.

Thus, LCM of Fractions is 250155276.Finally, LCM of Fractions for 618/21, 812/49, 997/965 is 250155276.