Least Common Multiple of 10/83, 67/12, 20/64, 20/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/83, 67/12, 20/64, 20/963 quickly i.e. 1340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/83, 67/12, 20/64, 20/963 is 1340.

LCM(10/83, 67/12, 20/64, 20/963) = 1340

LCM of 10/83, 67/12, 20/64, 20/963

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 10/83,67/12,20/64,20/963

Given numbers are 10/83,67/12,20/64,20/963

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 10,67,20,20

Least Common Multiple of Numerators i.e. LCM of 10,67,20,20 is 1340.

GCF of Denominators means GCF of 83,12,64,963 as per the given fractions.

GCF of 83,12,64,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,67,20,20

LCM of Fractions 10/83,67/12,20/64,20/963 is 1340

2 10, 67, 20, 20
2 5, 67, 10, 10
5 5, 67, 5, 5
1, 67, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 67 x 1 x 1 = 1340

Least Common Multiple of 10,67,20,20 with GCF Formula

Least Common Multiple of 10,67,20,20 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 10,67,20,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,67,20,20) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(10,67,20,20) x common factors =1 x 200 = 200

LCM(10,67,20,20) = ( 10 × 67 × 20 × 20 ) / 200

LCM(10,67,20,20) = 268000 / 200

LCM(10,67,20,20) = 1340


Lets's calculate GCF of 83,12,64,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1340/1

Therefore the LCM of Fractions 10/83,67/12,20/64,20/963 is 1340

Greatest Common Factor of 83,12,64,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,12,64,963 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 83,12,64,963 . The biggest common factor number is the GCF number.
So the greatest common factor 83,12,64,963 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 10/83, 67/12, 20/64, 20/963

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 10/83, 67/12, 20/64, 20/963?

Answer: LCM of Numerators as per given numbers 10/83, 67/12, 20/64, 20/963 is

LCM of Numerators i.e. for 10,67,20,20 is 1340

GCF of denominators i.e. for 83,12,64,963 is 1.

Thus, LCM of Fractions is 1340.Finally, LCM of Fractions for 10/83, 67/12, 20/64, 20/963 is 1340.