Least Common Multiple of 402/896, 5979/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/896, 5979/182 quickly i.e. 801186/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/896, 5979/182 is 801186/14.

LCM(402/896, 5979/182) = 801186/14

LCM of 402/896, 5979/182

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 402/896,5979/182

Given numbers are 402/896,5979/182

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 402,5979

Least Common Multiple of Numerators i.e. LCM of 402,5979 is 801186.

GCF of Denominators means GCF of 896,182 as per the given fractions.

GCF of 896,182 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,5979

LCM of Fractions 402/896,5979/182 is 801186/14

3 402, 5979
134, 1993

∴ So the LCM of the given numbers is 3 x 134 x 1993 = 801186

Least Common Multiple of 402,5979 with GCF Formula

Least Common Multiple of 402,5979 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 402,5979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,5979) = 3

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

GCF(402,5979) x common factors =3 x 1 = 3

LCM(402,5979) = ( 402 × 5979 ) / 3

LCM(402,5979) = 2403558 / 3

LCM(402,5979) = 801186


Lets's calculate GCF of 896,182

2 896, 182
7 448, 91
64, 13

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 801186/14

Therefore the LCM of Fractions 402/896,5979/182 is 801186/14

Greatest Common Factor of 896,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,182 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 896,182 . The biggest common factor number is the GCF number.
So the greatest common factor 896,182 is 14.


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 402/896, 5979/182

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 402/896, 5979/182?

Answer: LCM of Numerators as per given numbers 402/896, 5979/182 is

LCM of Numerators i.e. for 402,5979 is 801186

GCF of denominators i.e. for 896,182 is 14.

Thus, LCM of Fractions is 801186/14.Finally, LCM of Fractions for 402/896, 5979/182 is 801186/14.