Least Common Multiple of 87/58, 95/65, 294/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/58, 95/65, 294/173 quickly i.e. 809970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/58, 95/65, 294/173 is 809970.

LCM(87/58, 95/65, 294/173) = 809970

LCM of 87/58, 95/65, 294/173

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 87/58,95/65,294/173

Given numbers are 87/58,95/65,294/173

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 87,95,294

Least Common Multiple of Numerators i.e. LCM of 87,95,294 is 809970.

GCF of Denominators means GCF of 58,65,173 as per the given fractions.

GCF of 58,65,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,95,294

LCM of Fractions 87/58,95/65,294/173 is 809970

3 87, 95, 294
29, 95, 98

∴ So the LCM of the given numbers is 3 x 29 x 95 x 98 = 809970

Least Common Multiple of 87,95,294 with GCF Formula

Least Common Multiple of 87,95,294 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 87,95,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,95,294) = 1

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

GCF(87,95,294) x common factors =1 x 3 = 3

LCM(87,95,294) = ( 87 × 95 × 294 ) / 3

LCM(87,95,294) = 2429910 / 3

LCM(87,95,294) = 809970


Lets's calculate GCF of 58,65,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 809970/1

Therefore the LCM of Fractions 87/58,95/65,294/173 is 809970

Greatest Common Factor of 58,65,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,65,173 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 58,65,173 . The biggest common factor number is the GCF number.
So the greatest common factor 58,65,173 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 87/58, 95/65, 294/173

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 87/58, 95/65, 294/173?

Answer: LCM of Numerators as per given numbers 87/58, 95/65, 294/173 is

LCM of Numerators i.e. for 87,95,294 is 809970

GCF of denominators i.e. for 58,65,173 is 1.

Thus, LCM of Fractions is 809970.Finally, LCM of Fractions for 87/58, 95/65, 294/173 is 809970.