Least Common Multiple of 87/158, 897/576, 494/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/158, 897/576, 494/502 quickly i.e. 494247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/158, 897/576, 494/502 is 494247.

LCM(87/158, 897/576, 494/502) = 494247

LCM of 87/158, 897/576, 494/502

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 87/158,897/576,494/502

Given numbers are 87/158,897/576,494/502

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 87,897,494

Least Common Multiple of Numerators i.e. LCM of 87,897,494 is 988494.

GCF of Denominators means GCF of 158,576,502 as per the given fractions.

GCF of 158,576,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,897,494

LCM of Fractions 87/158,897/576,494/502 is 494247

3 87, 897, 494
13 29, 299, 494
29, 23, 38

∴ So the LCM of the given numbers is 3 x 13 x 29 x 23 x 38 = 988494

Least Common Multiple of 87,897,494 with GCF Formula

Least Common Multiple of 87,897,494 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 87,897,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,897,494) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(87,897,494) x common factors =1 x 39 = 39

LCM(87,897,494) = ( 87 × 897 × 494 ) / 39

LCM(87,897,494) = 38551266 / 39

LCM(87,897,494) = 988494


Lets's calculate GCF of 158,576,502

2 158, 576, 502
79, 288, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 988494/2

Therefore the LCM of Fractions 87/158,897/576,494/502 is 494247

Greatest Common Factor of 158,576,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,576,502 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 158,576,502 . The biggest common factor number is the GCF number.
So the greatest common factor 158,576,502 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 87/158, 897/576, 494/502

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 87/158, 897/576, 494/502?

Answer: LCM of Numerators as per given numbers 87/158, 897/576, 494/502 is

LCM of Numerators i.e. for 87,897,494 is 988494

GCF of denominators i.e. for 158,576,502 is 2.

Thus, LCM of Fractions is 494247.Finally, LCM of Fractions for 87/158, 897/576, 494/502 is 494247.