Least Common Multiple of 2369/992, 7223/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2369/992, 7223/107 quickly i.e. 17111287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2369/992, 7223/107 is 17111287.

LCM(2369/992, 7223/107) = 17111287

LCM of 2369/992, 7223/107

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 2369/992,7223/107

Given numbers are 2369/992,7223/107

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 2369,7223

Least Common Multiple of Numerators i.e. LCM of 2369,7223 is 17111287.

GCF of Denominators means GCF of 992,107 as per the given fractions.

GCF of 992,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2369,7223

LCM of Fractions 2369/992,7223/107 is 17111287

Given numbers has no common factors except 1. So, there LCM is their product i.e 17111287

Least Common Multiple of 2369,7223 with GCF Formula

Least Common Multiple of 2369,7223 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 2369,7223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2369,7223) = 1

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

GCF(2369,7223) x common factors =1 x 1 = 1

LCM(2369,7223) = ( 2369 × 7223 ) / 1

LCM(2369,7223) = 17111287 / 1

LCM(2369,7223) = 17111287


Lets's calculate GCF of 992,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17111287/1

Therefore the LCM of Fractions 2369/992,7223/107 is 17111287

Greatest Common Factor of 992,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,107 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 992,107 . The biggest common factor number is the GCF number.
So the greatest common factor 992,107 is 1.


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 2369/992, 7223/107

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 2369/992, 7223/107?

Answer: LCM of Numerators as per given numbers 2369/992, 7223/107 is

LCM of Numerators i.e. for 2369,7223 is 17111287

GCF of denominators i.e. for 992,107 is 1.

Thus, LCM of Fractions is 17111287.Finally, LCM of Fractions for 2369/992, 7223/107 is 17111287.