Least Common Multiple of 65/123, 5202/8253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/123, 5202/8253 quickly i.e. 112710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/123, 5202/8253 is 112710.

LCM(65/123, 5202/8253) = 112710

LCM of 65/123, 5202/8253

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 65/123,5202/8253

Given numbers are 65/123,5202/8253

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 65,5202

Least Common Multiple of Numerators i.e. LCM of 65,5202 is 338130.

GCF of Denominators means GCF of 123,8253 as per the given fractions.

GCF of 123,8253 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,5202

LCM of Fractions 65/123,5202/8253 is 112710

Given numbers has no common factors except 1. So, there LCM is their product i.e 338130

Least Common Multiple of 65,5202 with GCF Formula

Least Common Multiple of 65,5202 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 65,5202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,5202) = 1

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

GCF(65,5202) x common factors =1 x 1 = 1

LCM(65,5202) = ( 65 × 5202 ) / 1

LCM(65,5202) = 338130 / 1

LCM(65,5202) = 338130


Lets's calculate GCF of 123,8253

3 123, 8253
41, 2751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338130/3

Therefore the LCM of Fractions 65/123,5202/8253 is 112710

Greatest Common Factor of 123,8253 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,8253 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 8253

List of positive integer factors of 8253 that divides 8253 without a remainder.

1,3,7,9,21,63,131,393,917,1179,2751,8253

Greatest Common Factor

We found the factors 123,8253 . The biggest common factor number is the GCF number.
So the greatest common factor 123,8253 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 65/123, 5202/8253

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 65/123, 5202/8253?

Answer: LCM of Numerators as per given numbers 65/123, 5202/8253 is

LCM of Numerators i.e. for 65,5202 is 338130

GCF of denominators i.e. for 123,8253 is 3.

Thus, LCM of Fractions is 112710.Finally, LCM of Fractions for 65/123, 5202/8253 is 112710.