Least Common Multiple of 54/777, 416/226, 404/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 54/777, 416/226, 404/390 quickly i.e. 1134432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/777, 416/226, 404/390 is 1134432.

LCM(54/777, 416/226, 404/390) = 1134432

LCM of 54/777, 416/226, 404/390

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 54/777,416/226,404/390

Given numbers are 54/777,416/226,404/390

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 54,416,404

Least Common Multiple of Numerators i.e. LCM of 54,416,404 is 1134432.

GCF of Denominators means GCF of 777,226,390 as per the given fractions.

GCF of 777,226,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,416,404

LCM of Fractions 54/777,416/226,404/390 is 1134432

2 54, 416, 404
2 27, 208, 202
27, 104, 101

∴ So the LCM of the given numbers is 2 x 2 x 27 x 104 x 101 = 1134432

Least Common Multiple of 54,416,404 with GCF Formula

Least Common Multiple of 54,416,404 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 54,416,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,416,404) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(54,416,404) x common factors =2 x 4 = 8

LCM(54,416,404) = ( 54 × 416 × 404 ) / 8

LCM(54,416,404) = 9075456 / 8

LCM(54,416,404) = 1134432


Lets's calculate GCF of 777,226,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1134432/1

Therefore the LCM of Fractions 54/777,416/226,404/390 is 1134432

Greatest Common Factor of 777,226,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,226,390 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 777,226,390 . The biggest common factor number is the GCF number.
So the greatest common factor 777,226,390 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 54/777, 416/226, 404/390

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 54/777, 416/226, 404/390?

Answer: LCM of Numerators as per given numbers 54/777, 416/226, 404/390 is

LCM of Numerators i.e. for 54,416,404 is 1134432

GCF of denominators i.e. for 777,226,390 is 1.

Thus, LCM of Fractions is 1134432.Finally, LCM of Fractions for 54/777, 416/226, 404/390 is 1134432.