Least Common Multiple of 558/70, 627/51, 664/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/70, 627/51, 664/180 quickly i.e. 38718504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/70, 627/51, 664/180 is 38718504.

LCM(558/70, 627/51, 664/180) = 38718504

LCM of 558/70, 627/51, 664/180

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 558/70,627/51,664/180

Given numbers are 558/70,627/51,664/180

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 558,627,664

Least Common Multiple of Numerators i.e. LCM of 558,627,664 is 38718504.

GCF of Denominators means GCF of 70,51,180 as per the given fractions.

GCF of 70,51,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,627,664

LCM of Fractions 558/70,627/51,664/180 is 38718504

2 558, 627, 664
3 279, 627, 332
93, 209, 332

∴ So the LCM of the given numbers is 2 x 3 x 93 x 209 x 332 = 38718504

Least Common Multiple of 558,627,664 with GCF Formula

Least Common Multiple of 558,627,664 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 558,627,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,627,664) = 1

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

GCF(558,627,664) x common factors =1 x 6 = 6

LCM(558,627,664) = ( 558 × 627 × 664 ) / 6

LCM(558,627,664) = 232311024 / 6

LCM(558,627,664) = 38718504


Lets's calculate GCF of 70,51,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38718504/1

Therefore the LCM of Fractions 558/70,627/51,664/180 is 38718504

Greatest Common Factor of 70,51,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,51,180 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 70,51,180 . The biggest common factor number is the GCF number.
So the greatest common factor 70,51,180 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 558/70, 627/51, 664/180

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 558/70, 627/51, 664/180?

Answer: LCM of Numerators as per given numbers 558/70, 627/51, 664/180 is

LCM of Numerators i.e. for 558,627,664 is 38718504

GCF of denominators i.e. for 70,51,180 is 1.

Thus, LCM of Fractions is 38718504.Finally, LCM of Fractions for 558/70, 627/51, 664/180 is 38718504.