Least Common Multiple of 21/78, 82/746, 754/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/78, 82/746, 754/311 quickly i.e. 649194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/78, 82/746, 754/311 is 649194.

LCM(21/78, 82/746, 754/311) = 649194

LCM of 21/78, 82/746, 754/311

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 21/78,82/746,754/311

Given numbers are 21/78,82/746,754/311

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 21,82,754

Least Common Multiple of Numerators i.e. LCM of 21,82,754 is 649194.

GCF of Denominators means GCF of 78,746,311 as per the given fractions.

GCF of 78,746,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,82,754

LCM of Fractions 21/78,82/746,754/311 is 649194

2 21, 82, 754
21, 41, 377

∴ So the LCM of the given numbers is 2 x 21 x 41 x 377 = 649194

Least Common Multiple of 21,82,754 with GCF Formula

Least Common Multiple of 21,82,754 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 21,82,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,82,754) = 1

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

GCF(21,82,754) x common factors =1 x 2 = 2

LCM(21,82,754) = ( 21 × 82 × 754 ) / 2

LCM(21,82,754) = 1298388 / 2

LCM(21,82,754) = 649194


Lets's calculate GCF of 78,746,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649194/1

Therefore the LCM of Fractions 21/78,82/746,754/311 is 649194

Greatest Common Factor of 78,746,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,746,311 By Matching Biggest Common Factor Method

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 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 78,746,311 . The biggest common factor number is the GCF number.
So the greatest common factor 78,746,311 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 21/78, 82/746, 754/311

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 21/78, 82/746, 754/311?

Answer: LCM of Numerators as per given numbers 21/78, 82/746, 754/311 is

LCM of Numerators i.e. for 21,82,754 is 649194

GCF of denominators i.e. for 78,746,311 is 1.

Thus, LCM of Fractions is 649194.Finally, LCM of Fractions for 21/78, 82/746, 754/311 is 649194.