Least Common Multiple of 615/69, 253/9234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 615/69, 253/9234 quickly i.e. 51865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/69, 253/9234 is 51865.

LCM(615/69, 253/9234) = 51865

LCM of 615/69, 253/9234

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 615/69,253/9234

Given numbers are 615/69,253/9234

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 615,253

Least Common Multiple of Numerators i.e. LCM of 615,253 is 155595.

GCF of Denominators means GCF of 69,9234 as per the given fractions.

GCF of 69,9234 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,253

LCM of Fractions 615/69,253/9234 is 51865

Given numbers has no common factors except 1. So, there LCM is their product i.e 155595

Least Common Multiple of 615,253 with GCF Formula

Least Common Multiple of 615,253 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 615,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,253) = 1

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

GCF(615,253) x common factors =1 x 1 = 1

LCM(615,253) = ( 615 × 253 ) / 1

LCM(615,253) = 155595 / 1

LCM(615,253) = 155595


Lets's calculate GCF of 69,9234

3 69, 9234
23, 3078

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155595/3

Therefore the LCM of Fractions 615/69,253/9234 is 51865

Greatest Common Factor of 69,9234 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,9234 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 9234

List of positive integer factors of 9234 that divides 9234 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234

Greatest Common Factor

We found the factors 69,9234 . The biggest common factor number is the GCF number.
So the greatest common factor 69,9234 is 3.


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 615/69, 253/9234

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 615/69, 253/9234?

Answer: LCM of Numerators as per given numbers 615/69, 253/9234 is

LCM of Numerators i.e. for 615,253 is 155595

GCF of denominators i.e. for 69,9234 is 3.

Thus, LCM of Fractions is 51865.Finally, LCM of Fractions for 615/69, 253/9234 is 51865.