Least Common Multiple of 80/378, 549/969, 551/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/378, 549/969, 551/916 quickly i.e. 24199920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/378, 549/969, 551/916 is 24199920.

LCM(80/378, 549/969, 551/916) = 24199920

LCM of 80/378, 549/969, 551/916

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 80/378,549/969,551/916

Given numbers are 80/378,549/969,551/916

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 80,549,551

Least Common Multiple of Numerators i.e. LCM of 80,549,551 is 24199920.

GCF of Denominators means GCF of 378,969,916 as per the given fractions.

GCF of 378,969,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,549,551

LCM of Fractions 80/378,549/969,551/916 is 24199920

Given numbers has no common factors except 1. So, there LCM is their product i.e 24199920

Least Common Multiple of 80,549,551 with GCF Formula

Least Common Multiple of 80,549,551 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 80,549,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,549,551) = 1

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

GCF(80,549,551) x common factors =1 x 1 = 1

LCM(80,549,551) = ( 80 × 549 × 551 ) / 1

LCM(80,549,551) = 24199920 / 1

LCM(80,549,551) = 24199920


Lets's calculate GCF of 378,969,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24199920/1

Therefore the LCM of Fractions 80/378,549/969,551/916 is 24199920

Greatest Common Factor of 378,969,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,969,916 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 378,969,916 . The biggest common factor number is the GCF number.
So the greatest common factor 378,969,916 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 80/378, 549/969, 551/916

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 80/378, 549/969, 551/916?

Answer: LCM of Numerators as per given numbers 80/378, 549/969, 551/916 is

LCM of Numerators i.e. for 80,549,551 is 24199920

GCF of denominators i.e. for 378,969,916 is 1.

Thus, LCM of Fractions is 24199920.Finally, LCM of Fractions for 80/378, 549/969, 551/916 is 24199920.