Least Common Multiple of 615/442, 7102/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 615/442, 7102/362 quickly i.e. 2183865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/442, 7102/362 is 2183865.

LCM(615/442, 7102/362) = 2183865

LCM of 615/442, 7102/362

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 615/442,7102/362

Given numbers are 615/442,7102/362

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 615,7102

Least Common Multiple of Numerators i.e. LCM of 615,7102 is 4367730.

GCF of Denominators means GCF of 442,362 as per the given fractions.

GCF of 442,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,7102

LCM of Fractions 615/442,7102/362 is 2183865

Given numbers has no common factors except 1. So, there LCM is their product i.e 4367730

Least Common Multiple of 615,7102 with GCF Formula

Least Common Multiple of 615,7102 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 615,7102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,7102) = 1

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

GCF(615,7102) x common factors =1 x 1 = 1

LCM(615,7102) = ( 615 × 7102 ) / 1

LCM(615,7102) = 4367730 / 1

LCM(615,7102) = 4367730


Lets's calculate GCF of 442,362

2 442, 362
221, 181

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4367730/2

Therefore the LCM of Fractions 615/442,7102/362 is 2183865

Greatest Common Factor of 442,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,362 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 442,362 . The biggest common factor number is the GCF number.
So the greatest common factor 442,362 is 2.


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 615/442, 7102/362

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 615/442, 7102/362?

Answer: LCM of Numerators as per given numbers 615/442, 7102/362 is

LCM of Numerators i.e. for 615,7102 is 4367730

GCF of denominators i.e. for 442,362 is 2.

Thus, LCM of Fractions is 2183865.Finally, LCM of Fractions for 615/442, 7102/362 is 2183865.