Least Common Multiple of 579/74, 508/60, 341/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/74, 508/60, 341/148 quickly i.e. 50149506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/74, 508/60, 341/148 is 50149506.

LCM(579/74, 508/60, 341/148) = 50149506

LCM of 579/74, 508/60, 341/148

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 579/74,508/60,341/148

Given numbers are 579/74,508/60,341/148

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 579,508,341

Least Common Multiple of Numerators i.e. LCM of 579,508,341 is 100299012.

GCF of Denominators means GCF of 74,60,148 as per the given fractions.

GCF of 74,60,148 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,508,341

LCM of Fractions 579/74,508/60,341/148 is 50149506

Given numbers has no common factors except 1. So, there LCM is their product i.e 100299012

Least Common Multiple of 579,508,341 with GCF Formula

Least Common Multiple of 579,508,341 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 579,508,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,508,341) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(579,508,341) x common factors =1 x 1 = 1

LCM(579,508,341) = ( 579 × 508 × 341 ) / 1

LCM(579,508,341) = 100299012 / 1

LCM(579,508,341) = 100299012


Lets's calculate GCF of 74,60,148

2 74, 60, 148
37, 30, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100299012/2

Therefore the LCM of Fractions 579/74,508/60,341/148 is 50149506

Greatest Common Factor of 74,60,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,60,148 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 74,60,148 . The biggest common factor number is the GCF number.
So the greatest common factor 74,60,148 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 579/74, 508/60, 341/148

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 579/74, 508/60, 341/148?

Answer: LCM of Numerators as per given numbers 579/74, 508/60, 341/148 is

LCM of Numerators i.e. for 579,508,341 is 100299012

GCF of denominators i.e. for 74,60,148 is 2.

Thus, LCM of Fractions is 50149506.Finally, LCM of Fractions for 579/74, 508/60, 341/148 is 50149506.