Least Common Multiple of 76/417, 12/240, 664/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/417, 12/240, 664/578 quickly i.e. 37848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/417, 12/240, 664/578 is 37848.

LCM(76/417, 12/240, 664/578) = 37848

LCM of 76/417, 12/240, 664/578

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 76/417,12/240,664/578

Given numbers are 76/417,12/240,664/578

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 76,12,664

Least Common Multiple of Numerators i.e. LCM of 76,12,664 is 37848.

GCF of Denominators means GCF of 417,240,578 as per the given fractions.

GCF of 417,240,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,12,664

LCM of Fractions 76/417,12/240,664/578 is 37848

2 76, 12, 664
2 38, 6, 332
19, 3, 166

∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 166 = 37848

Least Common Multiple of 76,12,664 with GCF Formula

Least Common Multiple of 76,12,664 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 76,12,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,12,664) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(76,12,664) x common factors =4 x 4 = 16

LCM(76,12,664) = ( 76 × 12 × 664 ) / 16

LCM(76,12,664) = 605568 / 16

LCM(76,12,664) = 37848


Lets's calculate GCF of 417,240,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37848/1

Therefore the LCM of Fractions 76/417,12/240,664/578 is 37848

Greatest Common Factor of 417,240,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,240,578 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 417,240,578 . The biggest common factor number is the GCF number.
So the greatest common factor 417,240,578 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 76/417, 12/240, 664/578

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 76/417, 12/240, 664/578?

Answer: LCM of Numerators as per given numbers 76/417, 12/240, 664/578 is

LCM of Numerators i.e. for 76,12,664 is 37848

GCF of denominators i.e. for 417,240,578 is 1.

Thus, LCM of Fractions is 37848.Finally, LCM of Fractions for 76/417, 12/240, 664/578 is 37848.