Least Common Multiple of 601/60, 956/96, 784/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 601/60, 956/96, 784/452 quickly i.e. 28153244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 601/60, 956/96, 784/452 is 28153244.

LCM(601/60, 956/96, 784/452) = 28153244

LCM of 601/60, 956/96, 784/452

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 601/60,956/96,784/452

Given numbers are 601/60,956/96,784/452

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 601,956,784

Least Common Multiple of Numerators i.e. LCM of 601,956,784 is 112612976.

GCF of Denominators means GCF of 60,96,452 as per the given fractions.

GCF of 60,96,452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 601,956,784

LCM of Fractions 601/60,956/96,784/452 is 28153244

2 601, 956, 784
2 601, 478, 392
601, 239, 196

∴ So the LCM of the given numbers is 2 x 2 x 601 x 239 x 196 = 112612976

Least Common Multiple of 601,956,784 with GCF Formula

Least Common Multiple of 601,956,784 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 601,956,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,956,784) = 1

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

GCF(601,956,784) x common factors =1 x 4 = 4

LCM(601,956,784) = ( 601 × 956 × 784 ) / 4

LCM(601,956,784) = 450451904 / 4

LCM(601,956,784) = 112612976


Lets's calculate GCF of 60,96,452

2 60, 96, 452
2 30, 48, 226
15, 24, 113

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112612976/4

Therefore the LCM of Fractions 601/60,956/96,784/452 is 28153244

Greatest Common Factor of 60,96,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,96,452 By Matching Biggest Common Factor Method

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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 60,96,452 . The biggest common factor number is the GCF number.
So the greatest common factor 60,96,452 is 4.


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 601/60, 956/96, 784/452

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 601/60, 956/96, 784/452?

Answer: LCM of Numerators as per given numbers 601/60, 956/96, 784/452 is

LCM of Numerators i.e. for 601,956,784 is 112612976

GCF of denominators i.e. for 60,96,452 is 4.

Thus, LCM of Fractions is 28153244.Finally, LCM of Fractions for 601/60, 956/96, 784/452 is 28153244.