Least Common Multiple of 92/983, 2168/9537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/983, 2168/9537 quickly i.e. 49864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/983, 2168/9537 is 49864.

LCM(92/983, 2168/9537) = 49864

LCM of 92/983, 2168/9537

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 92/983,2168/9537

Given numbers are 92/983,2168/9537

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 92,2168

Least Common Multiple of Numerators i.e. LCM of 92,2168 is 49864.

GCF of Denominators means GCF of 983,9537 as per the given fractions.

GCF of 983,9537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,2168

LCM of Fractions 92/983,2168/9537 is 49864

2 92, 2168
2 46, 1084
23, 542

∴ So the LCM of the given numbers is 2 x 2 x 23 x 542 = 49864

Least Common Multiple of 92,2168 with GCF Formula

Least Common Multiple of 92,2168 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 92,2168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,2168) = 4

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

GCF(92,2168) x common factors =4 x 1 = 4

LCM(92,2168) = ( 92 × 2168 ) / 4

LCM(92,2168) = 199456 / 4

LCM(92,2168) = 49864


Lets's calculate GCF of 983,9537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49864/1

Therefore the LCM of Fractions 92/983,2168/9537 is 49864

Greatest Common Factor of 983,9537 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,9537 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1,3,11,17,33,51,187,289,561,867,3179,9537

Greatest Common Factor

We found the factors 983,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 983,9537 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 92/983, 2168/9537

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 92/983, 2168/9537?

Answer: LCM of Numerators as per given numbers 92/983, 2168/9537 is

LCM of Numerators i.e. for 92,2168 is 49864

GCF of denominators i.e. for 983,9537 is 1.

Thus, LCM of Fractions is 49864.Finally, LCM of Fractions for 92/983, 2168/9537 is 49864.