Least Common Multiple of 77/379, 741/20, 216/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/379, 741/20, 216/654 quickly i.e. 4108104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/379, 741/20, 216/654 is 4108104.

LCM(77/379, 741/20, 216/654) = 4108104

LCM of 77/379, 741/20, 216/654

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 77/379,741/20,216/654

Given numbers are 77/379,741/20,216/654

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 77,741,216

Least Common Multiple of Numerators i.e. LCM of 77,741,216 is 4108104.

GCF of Denominators means GCF of 379,20,654 as per the given fractions.

GCF of 379,20,654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,741,216

LCM of Fractions 77/379,741/20,216/654 is 4108104

3 77, 741, 216
77, 247, 72

∴ So the LCM of the given numbers is 3 x 77 x 247 x 72 = 4108104

Least Common Multiple of 77,741,216 with GCF Formula

Least Common Multiple of 77,741,216 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 77,741,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,741,216) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(77,741,216) x common factors =1 x 3 = 3

LCM(77,741,216) = ( 77 × 741 × 216 ) / 3

LCM(77,741,216) = 12324312 / 3

LCM(77,741,216) = 4108104


Lets's calculate GCF of 379,20,654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4108104/1

Therefore the LCM of Fractions 77/379,741/20,216/654 is 4108104

Greatest Common Factor of 379,20,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,20,654 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 379,20,654 . The biggest common factor number is the GCF number.
So the greatest common factor 379,20,654 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 77/379, 741/20, 216/654

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 77/379, 741/20, 216/654?

Answer: LCM of Numerators as per given numbers 77/379, 741/20, 216/654 is

LCM of Numerators i.e. for 77,741,216 is 4108104

GCF of denominators i.e. for 379,20,654 is 1.

Thus, LCM of Fractions is 4108104.Finally, LCM of Fractions for 77/379, 741/20, 216/654 is 4108104.