Least Common Multiple of 408/54, 790/64, 764/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/54, 790/64, 764/548 quickly i.e. 15390780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/54, 790/64, 764/548 is 15390780.

LCM(408/54, 790/64, 764/548) = 15390780

LCM of 408/54, 790/64, 764/548

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 408/54,790/64,764/548

Given numbers are 408/54,790/64,764/548

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 408,790,764

Least Common Multiple of Numerators i.e. LCM of 408,790,764 is 30781560.

GCF of Denominators means GCF of 54,64,548 as per the given fractions.

GCF of 54,64,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,790,764

LCM of Fractions 408/54,790/64,764/548 is 15390780

2 408, 790, 764
2 204, 395, 382
102, 395, 191

∴ So the LCM of the given numbers is 2 x 2 x 102 x 395 x 191 = 30781560

Least Common Multiple of 408,790,764 with GCF Formula

Least Common Multiple of 408,790,764 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 408,790,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,790,764) = 2

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

GCF(408,790,764) x common factors =2 x 4 = 8

LCM(408,790,764) = ( 408 × 790 × 764 ) / 8

LCM(408,790,764) = 246252480 / 8

LCM(408,790,764) = 30781560


Lets's calculate GCF of 54,64,548

2 54, 64, 548
27, 32, 274

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30781560/2

Therefore the LCM of Fractions 408/54,790/64,764/548 is 15390780

Greatest Common Factor of 54,64,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,64,548 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 54,64,548 . The biggest common factor number is the GCF number.
So the greatest common factor 54,64,548 is 2.


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 408/54, 790/64, 764/548

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 408/54, 790/64, 764/548?

Answer: LCM of Numerators as per given numbers 408/54, 790/64, 764/548 is

LCM of Numerators i.e. for 408,790,764 is 30781560

GCF of denominators i.e. for 54,64,548 is 2.

Thus, LCM of Fractions is 15390780.Finally, LCM of Fractions for 408/54, 790/64, 764/548 is 15390780.