Least Common Multiple of 4308/186, 1524/3348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4308/186, 1524/3348 quickly i.e. 547116/186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4308/186, 1524/3348 is 547116/186.

LCM(4308/186, 1524/3348) = 547116/186

LCM of 4308/186, 1524/3348

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 4308/186,1524/3348

Given numbers are 4308/186,1524/3348

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 4308,1524

Least Common Multiple of Numerators i.e. LCM of 4308,1524 is 547116.

GCF of Denominators means GCF of 186,3348 as per the given fractions.

GCF of 186,3348 is 186 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4308,1524

LCM of Fractions 4308/186,1524/3348 is 547116/186

2 4308, 1524
2 2154, 762
3 1077, 381
359, 127

∴ So the LCM of the given numbers is 2 x 2 x 3 x 359 x 127 = 547116

Least Common Multiple of 4308,1524 with GCF Formula

Least Common Multiple of 4308,1524 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 4308,1524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4308,1524) = 12

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

GCF(4308,1524) x common factors =12 x 1 = 12

LCM(4308,1524) = ( 4308 × 1524 ) / 12

LCM(4308,1524) = 6565392 / 12

LCM(4308,1524) = 547116


Lets's calculate GCF of 186,3348

2 186, 3348
3 93, 1674
31 31, 558
1, 18

∴ So the GCF of the given numbers is 2 x 3 x 31 = 186

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547116/186

Therefore the LCM of Fractions 4308/186,1524/3348 is 547116/186

Greatest Common Factor of 186,3348 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,3348 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 3348

List of positive integer factors of 3348 that divides 3348 without a remainder.

1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348

Greatest Common Factor

We found the factors 186,3348 . The biggest common factor number is the GCF number.
So the greatest common factor 186,3348 is 186.


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 4308/186, 1524/3348

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 4308/186, 1524/3348?

Answer: LCM of Numerators as per given numbers 4308/186, 1524/3348 is

LCM of Numerators i.e. for 4308,1524 is 547116

GCF of denominators i.e. for 186,3348 is 186.

Thus, LCM of Fractions is 547116/186.Finally, LCM of Fractions for 4308/186, 1524/3348 is 547116/186.