Least Common Multiple of 969/38, 753/8412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/38, 753/8412 quickly i.e. 243219/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/38, 753/8412 is 243219/2.

LCM(969/38, 753/8412) = 243219/2

LCM of 969/38, 753/8412

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 969/38,753/8412

Given numbers are 969/38,753/8412

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 969,753

Least Common Multiple of Numerators i.e. LCM of 969,753 is 243219.

GCF of Denominators means GCF of 38,8412 as per the given fractions.

GCF of 38,8412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,753

LCM of Fractions 969/38,753/8412 is 243219/2

3 969, 753
323, 251

∴ So the LCM of the given numbers is 3 x 323 x 251 = 243219

Least Common Multiple of 969,753 with GCF Formula

Least Common Multiple of 969,753 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 969,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,753) = 3

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

GCF(969,753) x common factors =3 x 1 = 3

LCM(969,753) = ( 969 × 753 ) / 3

LCM(969,753) = 729657 / 3

LCM(969,753) = 243219


Lets's calculate GCF of 38,8412

2 38, 8412
19, 4206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243219/2

Therefore the LCM of Fractions 969/38,753/8412 is 243219/2

Greatest Common Factor of 38,8412 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,8412 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Greatest Common Factor

We found the factors 38,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8412 is 2.


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 969/38, 753/8412

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 969/38, 753/8412?

Answer: LCM of Numerators as per given numbers 969/38, 753/8412 is

LCM of Numerators i.e. for 969,753 is 243219

GCF of denominators i.e. for 38,8412 is 2.

Thus, LCM of Fractions is 243219/2.Finally, LCM of Fractions for 969/38, 753/8412 is 243219/2.