Least Common Multiple of 96/394, 402/952, 342/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/394, 402/952, 342/501 quickly i.e. 366624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/394, 402/952, 342/501 is 366624.

LCM(96/394, 402/952, 342/501) = 366624

LCM of 96/394, 402/952, 342/501

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 96/394,402/952,342/501

Given numbers are 96/394,402/952,342/501

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 96,402,342

Least Common Multiple of Numerators i.e. LCM of 96,402,342 is 366624.

GCF of Denominators means GCF of 394,952,501 as per the given fractions.

GCF of 394,952,501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,402,342

LCM of Fractions 96/394,402/952,342/501 is 366624

2 96, 402, 342
3 48, 201, 171
16, 67, 57

∴ So the LCM of the given numbers is 2 x 3 x 16 x 67 x 57 = 366624

Least Common Multiple of 96,402,342 with GCF Formula

Least Common Multiple of 96,402,342 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 96,402,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,402,342) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(96,402,342) x common factors =6 x 6 = 36

LCM(96,402,342) = ( 96 × 402 × 342 ) / 36

LCM(96,402,342) = 13198464 / 36

LCM(96,402,342) = 366624


Lets's calculate GCF of 394,952,501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366624/1

Therefore the LCM of Fractions 96/394,402/952,342/501 is 366624

Greatest Common Factor of 394,952,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,952,501 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 394,952,501 . The biggest common factor number is the GCF number.
So the greatest common factor 394,952,501 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 96/394, 402/952, 342/501

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 96/394, 402/952, 342/501?

Answer: LCM of Numerators as per given numbers 96/394, 402/952, 342/501 is

LCM of Numerators i.e. for 96,402,342 is 366624

GCF of denominators i.e. for 394,952,501 is 1.

Thus, LCM of Fractions is 366624.Finally, LCM of Fractions for 96/394, 402/952, 342/501 is 366624.