Least Common Multiple of 414/89, 379/76, 532/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/89, 379/76, 532/240 quickly i.e. 41736996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/89, 379/76, 532/240 is 41736996.

LCM(414/89, 379/76, 532/240) = 41736996

LCM of 414/89, 379/76, 532/240

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 414/89,379/76,532/240

Given numbers are 414/89,379/76,532/240

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 414,379,532

Least Common Multiple of Numerators i.e. LCM of 414,379,532 is 41736996.

GCF of Denominators means GCF of 89,76,240 as per the given fractions.

GCF of 89,76,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,379,532

LCM of Fractions 414/89,379/76,532/240 is 41736996

2 414, 379, 532
207, 379, 266

∴ So the LCM of the given numbers is 2 x 207 x 379 x 266 = 41736996

Least Common Multiple of 414,379,532 with GCF Formula

Least Common Multiple of 414,379,532 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 414,379,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,379,532) = 1

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

GCF(414,379,532) x common factors =1 x 2 = 2

LCM(414,379,532) = ( 414 × 379 × 532 ) / 2

LCM(414,379,532) = 83473992 / 2

LCM(414,379,532) = 41736996


Lets's calculate GCF of 89,76,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41736996/1

Therefore the LCM of Fractions 414/89,379/76,532/240 is 41736996

Greatest Common Factor of 89,76,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,76,240 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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

Greatest Common Factor

We found the factors 89,76,240 . The biggest common factor number is the GCF number.
So the greatest common factor 89,76,240 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 414/89, 379/76, 532/240

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 414/89, 379/76, 532/240?

Answer: LCM of Numerators as per given numbers 414/89, 379/76, 532/240 is

LCM of Numerators i.e. for 414,379,532 is 41736996

GCF of denominators i.e. for 89,76,240 is 1.

Thus, LCM of Fractions is 41736996.Finally, LCM of Fractions for 414/89, 379/76, 532/240 is 41736996.