Least Common Multiple of 87/174, 766/893, 588/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/174, 766/893, 588/508 quickly i.e. 6530916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/174, 766/893, 588/508 is 6530916.

LCM(87/174, 766/893, 588/508) = 6530916

LCM of 87/174, 766/893, 588/508

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 87/174,766/893,588/508

Given numbers are 87/174,766/893,588/508

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 87,766,588

Least Common Multiple of Numerators i.e. LCM of 87,766,588 is 6530916.

GCF of Denominators means GCF of 174,893,508 as per the given fractions.

GCF of 174,893,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,766,588

LCM of Fractions 87/174,766/893,588/508 is 6530916

2 87, 766, 588
3 87, 383, 294
29, 383, 98

∴ So the LCM of the given numbers is 2 x 3 x 29 x 383 x 98 = 6530916

Least Common Multiple of 87,766,588 with GCF Formula

Least Common Multiple of 87,766,588 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 87,766,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,766,588) = 1

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

GCF(87,766,588) x common factors =1 x 6 = 6

LCM(87,766,588) = ( 87 × 766 × 588 ) / 6

LCM(87,766,588) = 39185496 / 6

LCM(87,766,588) = 6530916


Lets's calculate GCF of 174,893,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6530916/1

Therefore the LCM of Fractions 87/174,766/893,588/508 is 6530916

Greatest Common Factor of 174,893,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,893,508 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 174,893,508 . The biggest common factor number is the GCF number.
So the greatest common factor 174,893,508 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 87/174, 766/893, 588/508

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 87/174, 766/893, 588/508?

Answer: LCM of Numerators as per given numbers 87/174, 766/893, 588/508 is

LCM of Numerators i.e. for 87,766,588 is 6530916

GCF of denominators i.e. for 174,893,508 is 1.

Thus, LCM of Fractions is 6530916.Finally, LCM of Fractions for 87/174, 766/893, 588/508 is 6530916.