Least Common Multiple of 100/260, 8423/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/260, 8423/742 quickly i.e. 421150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/260, 8423/742 is 421150.

LCM(100/260, 8423/742) = 421150

LCM of 100/260, 8423/742

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 100/260,8423/742

Given numbers are 100/260,8423/742

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 100,8423

Least Common Multiple of Numerators i.e. LCM of 100,8423 is 842300.

GCF of Denominators means GCF of 260,742 as per the given fractions.

GCF of 260,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,8423

LCM of Fractions 100/260,8423/742 is 421150

Given numbers has no common factors except 1. So, there LCM is their product i.e 842300

Least Common Multiple of 100,8423 with GCF Formula

Least Common Multiple of 100,8423 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 100,8423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,8423) = 1

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

GCF(100,8423) x common factors =1 x 1 = 1

LCM(100,8423) = ( 100 × 8423 ) / 1

LCM(100,8423) = 842300 / 1

LCM(100,8423) = 842300


Lets's calculate GCF of 260,742

2 260, 742
130, 371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 842300/2

Therefore the LCM of Fractions 100/260,8423/742 is 421150

Greatest Common Factor of 260,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,742 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 260,742 . The biggest common factor number is the GCF number.
So the greatest common factor 260,742 is 2.


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 100/260, 8423/742

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 100/260, 8423/742?

Answer: LCM of Numerators as per given numbers 100/260, 8423/742 is

LCM of Numerators i.e. for 100,8423 is 842300

GCF of denominators i.e. for 260,742 is 2.

Thus, LCM of Fractions is 421150.Finally, LCM of Fractions for 100/260, 8423/742 is 421150.