Least Common Multiple of 594/79, 980/30, 766/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/79, 980/30, 766/10 quickly i.e. 111475980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/79, 980/30, 766/10 is 111475980.

LCM(594/79, 980/30, 766/10) = 111475980

LCM of 594/79, 980/30, 766/10

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 594/79,980/30,766/10

Given numbers are 594/79,980/30,766/10

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 594,980,766

Least Common Multiple of Numerators i.e. LCM of 594,980,766 is 111475980.

GCF of Denominators means GCF of 79,30,10 as per the given fractions.

GCF of 79,30,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,980,766

LCM of Fractions 594/79,980/30,766/10 is 111475980

2 594, 980, 766
297, 490, 383

∴ So the LCM of the given numbers is 2 x 297 x 490 x 383 = 111475980

Least Common Multiple of 594,980,766 with GCF Formula

Least Common Multiple of 594,980,766 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 594,980,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,980,766) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(594,980,766) x common factors =2 x 2 = 4

LCM(594,980,766) = ( 594 × 980 × 766 ) / 4

LCM(594,980,766) = 445903920 / 4

LCM(594,980,766) = 111475980


Lets's calculate GCF of 79,30,10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111475980/1

Therefore the LCM of Fractions 594/79,980/30,766/10 is 111475980

Greatest Common Factor of 79,30,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,30,10 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 79,30,10 . The biggest common factor number is the GCF number.
So the greatest common factor 79,30,10 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 594/79, 980/30, 766/10

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 594/79, 980/30, 766/10?

Answer: LCM of Numerators as per given numbers 594/79, 980/30, 766/10 is

LCM of Numerators i.e. for 594,980,766 is 111475980

GCF of denominators i.e. for 79,30,10 is 1.

Thus, LCM of Fractions is 111475980.Finally, LCM of Fractions for 594/79, 980/30, 766/10 is 111475980.