Least Common Multiple of 482/764, 460/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 482/764, 460/966 quickly i.e. 55430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 482/764, 460/966 is 55430.

LCM(482/764, 460/966) = 55430

LCM of 482/764, 460/966

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 482/764,460/966

Given numbers are 482/764,460/966

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 482,460

Least Common Multiple of Numerators i.e. LCM of 482,460 is 110860.

GCF of Denominators means GCF of 764,966 as per the given fractions.

GCF of 764,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 482,460

LCM of Fractions 482/764,460/966 is 55430

2 482, 460
241, 230

∴ So the LCM of the given numbers is 2 x 241 x 230 = 110860

Least Common Multiple of 482,460 with GCF Formula

Least Common Multiple of 482,460 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 482,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,460) = 2

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

GCF(482,460) x common factors =2 x 1 = 2

LCM(482,460) = ( 482 × 460 ) / 2

LCM(482,460) = 221720 / 2

LCM(482,460) = 110860


Lets's calculate GCF of 764,966

2 764, 966
382, 483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110860/2

Therefore the LCM of Fractions 482/764,460/966 is 55430

Greatest Common Factor of 764,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,966 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 764,966 . The biggest common factor number is the GCF number.
So the greatest common factor 764,966 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 482/764, 460/966

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 482/764, 460/966?

Answer: LCM of Numerators as per given numbers 482/764, 460/966 is

LCM of Numerators i.e. for 482,460 is 110860

GCF of denominators i.e. for 764,966 is 2.

Thus, LCM of Fractions is 55430.Finally, LCM of Fractions for 482/764, 460/966 is 55430.