Least Common Multiple of 969/68, 204/6364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/68, 204/6364 quickly i.e. 969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/68, 204/6364 is 969.

LCM(969/68, 204/6364) = 969

LCM of 969/68, 204/6364

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 969/68,204/6364

Given numbers are 969/68,204/6364

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 969,204

Least Common Multiple of Numerators i.e. LCM of 969,204 is 3876.

GCF of Denominators means GCF of 68,6364 as per the given fractions.

GCF of 68,6364 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,204

LCM of Fractions 969/68,204/6364 is 969

3 969, 204
17 323, 68
19, 4

∴ So the LCM of the given numbers is 3 x 17 x 19 x 4 = 3876

Least Common Multiple of 969,204 with GCF Formula

Least Common Multiple of 969,204 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 969,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,204) = 51

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

GCF(969,204) x common factors =51 x 1 = 51

LCM(969,204) = ( 969 × 204 ) / 51

LCM(969,204) = 197676 / 51

LCM(969,204) = 3876


Lets's calculate GCF of 68,6364

2 68, 6364
2 34, 3182
17, 1591

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3876/4

Therefore the LCM of Fractions 969/68,204/6364 is 969

Greatest Common Factor of 68,6364 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,6364 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1,2,4,37,43,74,86,148,172,1591,3182,6364

Greatest Common Factor

We found the factors 68,6364 . The biggest common factor number is the GCF number.
So the greatest common factor 68,6364 is 4.


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 969/68, 204/6364

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 969/68, 204/6364?

Answer: LCM of Numerators as per given numbers 969/68, 204/6364 is

LCM of Numerators i.e. for 969,204 is 3876

GCF of denominators i.e. for 68,6364 is 4.

Thus, LCM of Fractions is 969.Finally, LCM of Fractions for 969/68, 204/6364 is 969.