Least Common Multiple of 96/477, 70/463, 459/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/477, 70/463, 459/751 quickly i.e. 514080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/477, 70/463, 459/751 is 514080.

LCM(96/477, 70/463, 459/751) = 514080

LCM of 96/477, 70/463, 459/751

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 96/477,70/463,459/751

Given numbers are 96/477,70/463,459/751

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 96,70,459

Least Common Multiple of Numerators i.e. LCM of 96,70,459 is 514080.

GCF of Denominators means GCF of 477,463,751 as per the given fractions.

GCF of 477,463,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,70,459

LCM of Fractions 96/477,70/463,459/751 is 514080

2 96, 70, 459
3 48, 35, 459
16, 35, 153

∴ So the LCM of the given numbers is 2 x 3 x 16 x 35 x 153 = 514080

Least Common Multiple of 96,70,459 with GCF Formula

Least Common Multiple of 96,70,459 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 96,70,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,70,459) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,70,459) x common factors =1 x 6 = 6

LCM(96,70,459) = ( 96 × 70 × 459 ) / 6

LCM(96,70,459) = 3084480 / 6

LCM(96,70,459) = 514080


Lets's calculate GCF of 477,463,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514080/1

Therefore the LCM of Fractions 96/477,70/463,459/751 is 514080

Greatest Common Factor of 477,463,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,463,751 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 477,463,751 . The biggest common factor number is the GCF number.
So the greatest common factor 477,463,751 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 96/477, 70/463, 459/751

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 96/477, 70/463, 459/751?

Answer: LCM of Numerators as per given numbers 96/477, 70/463, 459/751 is

LCM of Numerators i.e. for 96,70,459 is 514080

GCF of denominators i.e. for 477,463,751 is 1.

Thus, LCM of Fractions is 514080.Finally, LCM of Fractions for 96/477, 70/463, 459/751 is 514080.