Least Common Multiple of 87/260, 30/170, 245/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/260, 30/170, 245/185 quickly i.e. 8526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/260, 30/170, 245/185 is 8526.

LCM(87/260, 30/170, 245/185) = 8526

LCM of 87/260, 30/170, 245/185

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 87/260,30/170,245/185

Given numbers are 87/260,30/170,245/185

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 87,30,245

Least Common Multiple of Numerators i.e. LCM of 87,30,245 is 42630.

GCF of Denominators means GCF of 260,170,185 as per the given fractions.

GCF of 260,170,185 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,30,245

LCM of Fractions 87/260,30/170,245/185 is 8526

3 87, 30, 245
5 29, 10, 245
29, 2, 49

∴ So the LCM of the given numbers is 3 x 5 x 29 x 2 x 49 = 42630

Least Common Multiple of 87,30,245 with GCF Formula

Least Common Multiple of 87,30,245 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 87,30,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,30,245) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(87,30,245) x common factors =1 x 15 = 15

LCM(87,30,245) = ( 87 × 30 × 245 ) / 15

LCM(87,30,245) = 639450 / 15

LCM(87,30,245) = 42630


Lets's calculate GCF of 260,170,185

5 260, 170, 185
52, 34, 37

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42630/5

Therefore the LCM of Fractions 87/260,30/170,245/185 is 8526

Greatest Common Factor of 260,170,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,170,185 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 260,170,185 . The biggest common factor number is the GCF number.
So the greatest common factor 260,170,185 is 5.


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 87/260, 30/170, 245/185

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 87/260, 30/170, 245/185?

Answer: LCM of Numerators as per given numbers 87/260, 30/170, 245/185 is

LCM of Numerators i.e. for 87,30,245 is 42630

GCF of denominators i.e. for 260,170,185 is 5.

Thus, LCM of Fractions is 8526.Finally, LCM of Fractions for 87/260, 30/170, 245/185 is 8526.