Least Common Multiple of 141/392, 5695/6336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 141/392, 5695/6336 quickly i.e. 802995/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/392, 5695/6336 is 802995/8.

LCM(141/392, 5695/6336) = 802995/8

LCM of 141/392, 5695/6336

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 141/392,5695/6336

Given numbers are 141/392,5695/6336

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 141,5695

Least Common Multiple of Numerators i.e. LCM of 141,5695 is 802995.

GCF of Denominators means GCF of 392,6336 as per the given fractions.

GCF of 392,6336 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,5695

LCM of Fractions 141/392,5695/6336 is 802995/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 802995

Least Common Multiple of 141,5695 with GCF Formula

Least Common Multiple of 141,5695 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 141,5695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,5695) = 1

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

GCF(141,5695) x common factors =1 x 1 = 1

LCM(141,5695) = ( 141 × 5695 ) / 1

LCM(141,5695) = 802995 / 1

LCM(141,5695) = 802995


Lets's calculate GCF of 392,6336

2 392, 6336
2 196, 3168
2 98, 1584
49, 792

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 802995/8

Therefore the LCM of Fractions 141/392,5695/6336 is 802995/8

Greatest Common Factor of 392,6336 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,6336 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 6336

List of positive integer factors of 6336 that divides 6336 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336

Greatest Common Factor

We found the factors 392,6336 . The biggest common factor number is the GCF number.
So the greatest common factor 392,6336 is 8.


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 141/392, 5695/6336

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 141/392, 5695/6336?

Answer: LCM of Numerators as per given numbers 141/392, 5695/6336 is

LCM of Numerators i.e. for 141,5695 is 802995

GCF of denominators i.e. for 392,6336 is 8.

Thus, LCM of Fractions is 802995/8.Finally, LCM of Fractions for 141/392, 5695/6336 is 802995/8.