Least Common Multiple of 96/553, 312/756, 803/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/553, 312/756, 803/183 quickly i.e. 1002144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/553, 312/756, 803/183 is 1002144.

LCM(96/553, 312/756, 803/183) = 1002144

LCM of 96/553, 312/756, 803/183

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 96/553,312/756,803/183

Given numbers are 96/553,312/756,803/183

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 96,312,803

Least Common Multiple of Numerators i.e. LCM of 96,312,803 is 1002144.

GCF of Denominators means GCF of 553,756,183 as per the given fractions.

GCF of 553,756,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,312,803

LCM of Fractions 96/553,312/756,803/183 is 1002144

2 96, 312, 803
2 48, 156, 803
2 24, 78, 803
3 12, 39, 803
4, 13, 803

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 13 x 803 = 1002144

Least Common Multiple of 96,312,803 with GCF Formula

Least Common Multiple of 96,312,803 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 96,312,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,312,803) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(96,312,803) x common factors =1 x 24 = 24

LCM(96,312,803) = ( 96 × 312 × 803 ) / 24

LCM(96,312,803) = 24051456 / 24

LCM(96,312,803) = 1002144


Lets's calculate GCF of 553,756,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1002144/1

Therefore the LCM of Fractions 96/553,312/756,803/183 is 1002144

Greatest Common Factor of 553,756,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,756,183 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

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 553,756,183 . The biggest common factor number is the GCF number.
So the greatest common factor 553,756,183 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 96/553, 312/756, 803/183

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 96/553, 312/756, 803/183?

Answer: LCM of Numerators as per given numbers 96/553, 312/756, 803/183 is

LCM of Numerators i.e. for 96,312,803 is 1002144

GCF of denominators i.e. for 553,756,183 is 1.

Thus, LCM of Fractions is 1002144.Finally, LCM of Fractions for 96/553, 312/756, 803/183 is 1002144.