Least Common Multiple of 87/90, 59/85, 57/55, 67/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/90, 59/85, 57/55, 67/325 quickly i.e. 6534309/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/90, 59/85, 57/55, 67/325 is 6534309/5.

LCM(87/90, 59/85, 57/55, 67/325) = 6534309/5

LCM of 87/90, 59/85, 57/55, 67/325

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 87/90,59/85,57/55,67/325

Given numbers are 87/90,59/85,57/55,67/325

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 87,59,57,67

Least Common Multiple of Numerators i.e. LCM of 87,59,57,67 is 6534309.

GCF of Denominators means GCF of 90,85,55,325 as per the given fractions.

GCF of 90,85,55,325 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,59,57,67

LCM of Fractions 87/90,59/85,57/55,67/325 is 6534309/5

3 87, 59, 57, 67
29, 59, 19, 67

∴ So the LCM of the given numbers is 3 x 29 x 59 x 19 x 67 = 6534309

Least Common Multiple of 87,59,57,67 with GCF Formula

Least Common Multiple of 87,59,57,67 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 87,59,57,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,59,57,67) = 1

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

GCF(87,59,57,67) x common factors =1 x 3 = 3

LCM(87,59,57,67) = ( 87 × 59 × 57 × 67 ) / 3

LCM(87,59,57,67) = 19602927 / 3

LCM(87,59,57,67) = 6534309


Lets's calculate GCF of 90,85,55,325

5 90, 85, 55, 325
18, 17, 11, 65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6534309/5

Therefore the LCM of Fractions 87/90,59/85,57/55,67/325 is 6534309/5

Greatest Common Factor of 90,85,55,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,85,55,325 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 90,85,55,325 . The biggest common factor number is the GCF number.
So the greatest common factor 90,85,55,325 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 87/90, 59/85, 57/55, 67/325

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 87/90, 59/85, 57/55, 67/325?

Answer: LCM of Numerators as per given numbers 87/90, 59/85, 57/55, 67/325 is

LCM of Numerators i.e. for 87,59,57,67 is 6534309

GCF of denominators i.e. for 90,85,55,325 is 5.

Thus, LCM of Fractions is 6534309/5.Finally, LCM of Fractions for 87/90, 59/85, 57/55, 67/325 is 6534309/5.