Least Common Multiple of 76/558, 10/390, 235/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/558, 10/390, 235/620 quickly i.e. 8930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/558, 10/390, 235/620 is 8930.

LCM(76/558, 10/390, 235/620) = 8930

LCM of 76/558, 10/390, 235/620

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 76/558,10/390,235/620

Given numbers are 76/558,10/390,235/620

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 76,10,235

Least Common Multiple of Numerators i.e. LCM of 76,10,235 is 17860.

GCF of Denominators means GCF of 558,390,620 as per the given fractions.

GCF of 558,390,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,10,235

LCM of Fractions 76/558,10/390,235/620 is 8930

2 76, 10, 235
5 38, 5, 235
38, 1, 47

∴ So the LCM of the given numbers is 2 x 5 x 38 x 1 x 47 = 17860

Least Common Multiple of 76,10,235 with GCF Formula

Least Common Multiple of 76,10,235 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 76,10,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,10,235) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(76,10,235) x common factors =1 x 10 = 10

LCM(76,10,235) = ( 76 × 10 × 235 ) / 10

LCM(76,10,235) = 178600 / 10

LCM(76,10,235) = 17860


Lets's calculate GCF of 558,390,620

2 558, 390, 620
279, 195, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17860/2

Therefore the LCM of Fractions 76/558,10/390,235/620 is 8930

Greatest Common Factor of 558,390,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,390,620 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

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

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 558,390,620 . The biggest common factor number is the GCF number.
So the greatest common factor 558,390,620 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 76/558, 10/390, 235/620

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 76/558, 10/390, 235/620?

Answer: LCM of Numerators as per given numbers 76/558, 10/390, 235/620 is

LCM of Numerators i.e. for 76,10,235 is 17860

GCF of denominators i.e. for 558,390,620 is 2.

Thus, LCM of Fractions is 8930.Finally, LCM of Fractions for 76/558, 10/390, 235/620 is 8930.