Least Common Multiple of 215/15, 887/35, 118/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 215/15, 887/35, 118/202 quickly i.e. 22503190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 215/15, 887/35, 118/202 is 22503190.

LCM(215/15, 887/35, 118/202) = 22503190

LCM of 215/15, 887/35, 118/202

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 215/15,887/35,118/202

Given numbers are 215/15,887/35,118/202

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 215,887,118

Least Common Multiple of Numerators i.e. LCM of 215,887,118 is 22503190.

GCF of Denominators means GCF of 15,35,202 as per the given fractions.

GCF of 15,35,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 215,887,118

LCM of Fractions 215/15,887/35,118/202 is 22503190

Given numbers has no common factors except 1. So, there LCM is their product i.e 22503190

Least Common Multiple of 215,887,118 with GCF Formula

Least Common Multiple of 215,887,118 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 215,887,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,887,118) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(215,887,118) x common factors =1 x 1 = 1

LCM(215,887,118) = ( 215 × 887 × 118 ) / 1

LCM(215,887,118) = 22503190 / 1

LCM(215,887,118) = 22503190


Lets's calculate GCF of 15,35,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22503190/1

Therefore the LCM of Fractions 215/15,887/35,118/202 is 22503190

Greatest Common Factor of 15,35,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,35,202 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 15,35,202 . The biggest common factor number is the GCF number.
So the greatest common factor 15,35,202 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 215/15, 887/35, 118/202

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 215/15, 887/35, 118/202?

Answer: LCM of Numerators as per given numbers 215/15, 887/35, 118/202 is

LCM of Numerators i.e. for 215,887,118 is 22503190

GCF of denominators i.e. for 15,35,202 is 1.

Thus, LCM of Fractions is 22503190.Finally, LCM of Fractions for 215/15, 887/35, 118/202 is 22503190.