Least Common Multiple of 81/602, 57/156, 649/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/602, 57/156, 649/898 quickly i.e. 998811/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/602, 57/156, 649/898 is 998811/2.

LCM(81/602, 57/156, 649/898) = 998811/2

LCM of 81/602, 57/156, 649/898

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 81/602,57/156,649/898

Given numbers are 81/602,57/156,649/898

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 81,57,649

Least Common Multiple of Numerators i.e. LCM of 81,57,649 is 998811.

GCF of Denominators means GCF of 602,156,898 as per the given fractions.

GCF of 602,156,898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,57,649

LCM of Fractions 81/602,57/156,649/898 is 998811/2

3 81, 57, 649
27, 19, 649

∴ So the LCM of the given numbers is 3 x 27 x 19 x 649 = 998811

Least Common Multiple of 81,57,649 with GCF Formula

Least Common Multiple of 81,57,649 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 81,57,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,57,649) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,57,649) x common factors =1 x 3 = 3

LCM(81,57,649) = ( 81 × 57 × 649 ) / 3

LCM(81,57,649) = 2996433 / 3

LCM(81,57,649) = 998811


Lets's calculate GCF of 602,156,898

2 602, 156, 898
301, 78, 449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 998811/2

Therefore the LCM of Fractions 81/602,57/156,649/898 is 998811/2

Greatest Common Factor of 602,156,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,156,898 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 602,156,898 . The biggest common factor number is the GCF number.
So the greatest common factor 602,156,898 is 2.


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 81/602, 57/156, 649/898

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 81/602, 57/156, 649/898?

Answer: LCM of Numerators as per given numbers 81/602, 57/156, 649/898 is

LCM of Numerators i.e. for 81,57,649 is 998811

GCF of denominators i.e. for 602,156,898 is 2.

Thus, LCM of Fractions is 998811/2.Finally, LCM of Fractions for 81/602, 57/156, 649/898 is 998811/2.