Least Common Multiple of 90/872, 2309/3107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/872, 2309/3107 quickly i.e. 207810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/872, 2309/3107 is 207810.

LCM(90/872, 2309/3107) = 207810

LCM of 90/872, 2309/3107

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 90/872,2309/3107

Given numbers are 90/872,2309/3107

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 90,2309

Least Common Multiple of Numerators i.e. LCM of 90,2309 is 207810.

GCF of Denominators means GCF of 872,3107 as per the given fractions.

GCF of 872,3107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,2309

LCM of Fractions 90/872,2309/3107 is 207810

Given numbers has no common factors except 1. So, there LCM is their product i.e 207810

Least Common Multiple of 90,2309 with GCF Formula

Least Common Multiple of 90,2309 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 90,2309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2309) = 1

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

GCF(90,2309) x common factors =1 x 1 = 1

LCM(90,2309) = ( 90 × 2309 ) / 1

LCM(90,2309) = 207810 / 1

LCM(90,2309) = 207810


Lets's calculate GCF of 872,3107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207810/1

Therefore the LCM of Fractions 90/872,2309/3107 is 207810

Greatest Common Factor of 872,3107 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,3107 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 3107

List of positive integer factors of 3107 that divides 3107 without a remainder.

1,13,239,3107

Greatest Common Factor

We found the factors 872,3107 . The biggest common factor number is the GCF number.
So the greatest common factor 872,3107 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 90/872, 2309/3107

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 90/872, 2309/3107?

Answer: LCM of Numerators as per given numbers 90/872, 2309/3107 is

LCM of Numerators i.e. for 90,2309 is 207810

GCF of denominators i.e. for 872,3107 is 1.

Thus, LCM of Fractions is 207810.Finally, LCM of Fractions for 90/872, 2309/3107 is 207810.