Least Common Multiple of 87/37, 187/66, 342/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/37, 187/66, 342/360 quickly i.e. 1854666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/37, 187/66, 342/360 is 1854666.

LCM(87/37, 187/66, 342/360) = 1854666

LCM of 87/37, 187/66, 342/360

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 87/37,187/66,342/360

Given numbers are 87/37,187/66,342/360

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 87,187,342

Least Common Multiple of Numerators i.e. LCM of 87,187,342 is 1854666.

GCF of Denominators means GCF of 37,66,360 as per the given fractions.

GCF of 37,66,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,187,342

LCM of Fractions 87/37,187/66,342/360 is 1854666

3 87, 187, 342
29, 187, 114

∴ So the LCM of the given numbers is 3 x 29 x 187 x 114 = 1854666

Least Common Multiple of 87,187,342 with GCF Formula

Least Common Multiple of 87,187,342 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 87,187,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,187,342) = 1

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

GCF(87,187,342) x common factors =1 x 3 = 3

LCM(87,187,342) = ( 87 × 187 × 342 ) / 3

LCM(87,187,342) = 5563998 / 3

LCM(87,187,342) = 1854666


Lets's calculate GCF of 37,66,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1854666/1

Therefore the LCM of Fractions 87/37,187/66,342/360 is 1854666

Greatest Common Factor of 37,66,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,66,360 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 37,66,360 . The biggest common factor number is the GCF number.
So the greatest common factor 37,66,360 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 87/37, 187/66, 342/360

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 87/37, 187/66, 342/360?

Answer: LCM of Numerators as per given numbers 87/37, 187/66, 342/360 is

LCM of Numerators i.e. for 87,187,342 is 1854666

GCF of denominators i.e. for 37,66,360 is 1.

Thus, LCM of Fractions is 1854666.Finally, LCM of Fractions for 87/37, 187/66, 342/360 is 1854666.