Least Common Multiple of 57/738, 478/408, 990/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/738, 478/408, 990/548 quickly i.e. 2247795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/738, 478/408, 990/548 is 2247795.

LCM(57/738, 478/408, 990/548) = 2247795

LCM of 57/738, 478/408, 990/548

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 57/738,478/408,990/548

Given numbers are 57/738,478/408,990/548

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 57,478,990

Least Common Multiple of Numerators i.e. LCM of 57,478,990 is 4495590.

GCF of Denominators means GCF of 738,408,548 as per the given fractions.

GCF of 738,408,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,478,990

LCM of Fractions 57/738,478/408,990/548 is 2247795

2 57, 478, 990
3 57, 239, 495
19, 239, 165

∴ So the LCM of the given numbers is 2 x 3 x 19 x 239 x 165 = 4495590

Least Common Multiple of 57,478,990 with GCF Formula

Least Common Multiple of 57,478,990 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 57,478,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,478,990) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,478,990) x common factors =1 x 6 = 6

LCM(57,478,990) = ( 57 × 478 × 990 ) / 6

LCM(57,478,990) = 26973540 / 6

LCM(57,478,990) = 4495590


Lets's calculate GCF of 738,408,548

2 738, 408, 548
369, 204, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4495590/2

Therefore the LCM of Fractions 57/738,478/408,990/548 is 2247795

Greatest Common Factor of 738,408,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,408,548 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

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 738,408,548 . The biggest common factor number is the GCF number.
So the greatest common factor 738,408,548 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 57/738, 478/408, 990/548

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 57/738, 478/408, 990/548?

Answer: LCM of Numerators as per given numbers 57/738, 478/408, 990/548 is

LCM of Numerators i.e. for 57,478,990 is 4495590

GCF of denominators i.e. for 738,408,548 is 2.

Thus, LCM of Fractions is 2247795.Finally, LCM of Fractions for 57/738, 478/408, 990/548 is 2247795.