Least Common Multiple of 976/96, 2250/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/96, 2250/183 quickly i.e. 366000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/96, 2250/183 is 366000.

LCM(976/96, 2250/183) = 366000

LCM of 976/96, 2250/183

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 976/96,2250/183

Given numbers are 976/96,2250/183

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 976,2250

Least Common Multiple of Numerators i.e. LCM of 976,2250 is 1098000.

GCF of Denominators means GCF of 96,183 as per the given fractions.

GCF of 96,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,2250

LCM of Fractions 976/96,2250/183 is 366000

2 976, 2250
488, 1125

∴ So the LCM of the given numbers is 2 x 488 x 1125 = 1098000

Least Common Multiple of 976,2250 with GCF Formula

Least Common Multiple of 976,2250 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 976,2250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,2250) = 2

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

GCF(976,2250) x common factors =2 x 1 = 2

LCM(976,2250) = ( 976 × 2250 ) / 2

LCM(976,2250) = 2196000 / 2

LCM(976,2250) = 1098000


Lets's calculate GCF of 96,183

3 96, 183
32, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098000/3

Therefore the LCM of Fractions 976/96,2250/183 is 366000

Greatest Common Factor of 96,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,183 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 96,183 . The biggest common factor number is the GCF number.
So the greatest common factor 96,183 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 976/96, 2250/183

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 976/96, 2250/183?

Answer: LCM of Numerators as per given numbers 976/96, 2250/183 is

LCM of Numerators i.e. for 976,2250 is 1098000

GCF of denominators i.e. for 96,183 is 3.

Thus, LCM of Fractions is 366000.Finally, LCM of Fractions for 976/96, 2250/183 is 366000.