Least Common Multiple of 983/64, 613/19, 976/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 983/64, 613/19, 976/466 quickly i.e. 588117104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 983/64, 613/19, 976/466 is 588117104.

LCM(983/64, 613/19, 976/466) = 588117104

LCM of 983/64, 613/19, 976/466

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 983/64,613/19,976/466

Given numbers are 983/64,613/19,976/466

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 983,613,976

Least Common Multiple of Numerators i.e. LCM of 983,613,976 is 588117104.

GCF of Denominators means GCF of 64,19,466 as per the given fractions.

GCF of 64,19,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 983,613,976

LCM of Fractions 983/64,613/19,976/466 is 588117104

Given numbers has no common factors except 1. So, there LCM is their product i.e 588117104

Least Common Multiple of 983,613,976 with GCF Formula

Least Common Multiple of 983,613,976 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 983,613,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,613,976) = 1

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

GCF(983,613,976) x common factors =1 x 1 = 1

LCM(983,613,976) = ( 983 × 613 × 976 ) / 1

LCM(983,613,976) = 588117104 / 1

LCM(983,613,976) = 588117104


Lets's calculate GCF of 64,19,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 588117104/1

Therefore the LCM of Fractions 983/64,613/19,976/466 is 588117104

Greatest Common Factor of 64,19,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,19,466 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 466

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

1,2,233,466

Greatest Common Factor

We found the factors 64,19,466 . The biggest common factor number is the GCF number.
So the greatest common factor 64,19,466 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 983/64, 613/19, 976/466

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 983/64, 613/19, 976/466?

Answer: LCM of Numerators as per given numbers 983/64, 613/19, 976/466 is

LCM of Numerators i.e. for 983,613,976 is 588117104

GCF of denominators i.e. for 64,19,466 is 1.

Thus, LCM of Fractions is 588117104.Finally, LCM of Fractions for 983/64, 613/19, 976/466 is 588117104.