Least Common Multiple of 428/557, 552/215, 568/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/557, 552/215, 568/928 quickly i.e. 4193544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/557, 552/215, 568/928 is 4193544.

LCM(428/557, 552/215, 568/928) = 4193544

LCM of 428/557, 552/215, 568/928

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 428/557,552/215,568/928

Given numbers are 428/557,552/215,568/928

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 428,552,568

Least Common Multiple of Numerators i.e. LCM of 428,552,568 is 4193544.

GCF of Denominators means GCF of 557,215,928 as per the given fractions.

GCF of 557,215,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,552,568

LCM of Fractions 428/557,552/215,568/928 is 4193544

2 428, 552, 568
2 214, 276, 284
2 107, 138, 142
107, 69, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 69 x 71 = 4193544

Least Common Multiple of 428,552,568 with GCF Formula

Least Common Multiple of 428,552,568 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 428,552,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,552,568) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(428,552,568) x common factors =4 x 8 = 32

LCM(428,552,568) = ( 428 × 552 × 568 ) / 32

LCM(428,552,568) = 134193408 / 32

LCM(428,552,568) = 4193544


Lets's calculate GCF of 557,215,928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4193544/1

Therefore the LCM of Fractions 428/557,552/215,568/928 is 4193544

Greatest Common Factor of 557,215,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,215,928 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 557,215,928 . The biggest common factor number is the GCF number.
So the greatest common factor 557,215,928 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 428/557, 552/215, 568/928

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 428/557, 552/215, 568/928?

Answer: LCM of Numerators as per given numbers 428/557, 552/215, 568/928 is

LCM of Numerators i.e. for 428,552,568 is 4193544

GCF of denominators i.e. for 557,215,928 is 1.

Thus, LCM of Fractions is 4193544.Finally, LCM of Fractions for 428/557, 552/215, 568/928 is 4193544.