Least Common Multiple of 963/466, 7451/5166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 963/466, 7451/5166 quickly i.e. 7175313/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 963/466, 7451/5166 is 7175313/2.

LCM(963/466, 7451/5166) = 7175313/2

LCM of 963/466, 7451/5166

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 963/466,7451/5166

Given numbers are 963/466,7451/5166

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 963,7451

Least Common Multiple of Numerators i.e. LCM of 963,7451 is 7175313.

GCF of Denominators means GCF of 466,5166 as per the given fractions.

GCF of 466,5166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 963,7451

LCM of Fractions 963/466,7451/5166 is 7175313/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 7175313

Least Common Multiple of 963,7451 with GCF Formula

Least Common Multiple of 963,7451 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 963,7451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,7451) = 1

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

GCF(963,7451) x common factors =1 x 1 = 1

LCM(963,7451) = ( 963 × 7451 ) / 1

LCM(963,7451) = 7175313 / 1

LCM(963,7451) = 7175313


Lets's calculate GCF of 466,5166

2 466, 5166
233, 2583

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7175313/2

Therefore the LCM of Fractions 963/466,7451/5166 is 7175313/2

Greatest Common Factor of 466,5166 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,5166 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166

Greatest Common Factor

We found the factors 466,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 466,5166 is 2.


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 963/466, 7451/5166

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 963/466, 7451/5166?

Answer: LCM of Numerators as per given numbers 963/466, 7451/5166 is

LCM of Numerators i.e. for 963,7451 is 7175313

GCF of denominators i.e. for 466,5166 is 2.

Thus, LCM of Fractions is 7175313/2.Finally, LCM of Fractions for 963/466, 7451/5166 is 7175313/2.