Least Common Multiple of 2274/524, 4206/7772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2274/524, 4206/7772 quickly i.e. 1594074/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2274/524, 4206/7772 is 1594074/4.

LCM(2274/524, 4206/7772) = 1594074/4

LCM of 2274/524, 4206/7772

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 2274/524,4206/7772

Given numbers are 2274/524,4206/7772

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 2274,4206

Least Common Multiple of Numerators i.e. LCM of 2274,4206 is 1594074.

GCF of Denominators means GCF of 524,7772 as per the given fractions.

GCF of 524,7772 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2274,4206

LCM of Fractions 2274/524,4206/7772 is 1594074/4

2 2274, 4206
3 1137, 2103
379, 701

∴ So the LCM of the given numbers is 2 x 3 x 379 x 701 = 1594074

Least Common Multiple of 2274,4206 with GCF Formula

Least Common Multiple of 2274,4206 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 2274,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2274,4206) = 6

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

GCF(2274,4206) x common factors =6 x 1 = 6

LCM(2274,4206) = ( 2274 × 4206 ) / 6

LCM(2274,4206) = 9564444 / 6

LCM(2274,4206) = 1594074


Lets's calculate GCF of 524,7772

2 524, 7772
2 262, 3886
131, 1943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1594074/4

Therefore the LCM of Fractions 2274/524,4206/7772 is 1594074/4

Greatest Common Factor of 524,7772 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,7772 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1,2,4,29,58,67,116,134,268,1943,3886,7772

Greatest Common Factor

We found the factors 524,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 524,7772 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 2274/524, 4206/7772

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 2274/524, 4206/7772?

Answer: LCM of Numerators as per given numbers 2274/524, 4206/7772 is

LCM of Numerators i.e. for 2274,4206 is 1594074

GCF of denominators i.e. for 524,7772 is 4.

Thus, LCM of Fractions is 1594074/4.Finally, LCM of Fractions for 2274/524, 4206/7772 is 1594074/4.