Least Common Multiple of 362/28, 827/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/28, 827/524 quickly i.e. 299374/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/28, 827/524 is 299374/4.

LCM(362/28, 827/524) = 299374/4

LCM of 362/28, 827/524

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 362/28,827/524

Given numbers are 362/28,827/524

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 362,827

Least Common Multiple of Numerators i.e. LCM of 362,827 is 299374.

GCF of Denominators means GCF of 28,524 as per the given fractions.

GCF of 28,524 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,827

LCM of Fractions 362/28,827/524 is 299374/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 299374

Least Common Multiple of 362,827 with GCF Formula

Least Common Multiple of 362,827 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 362,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,827) = 1

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

GCF(362,827) x common factors =1 x 1 = 1

LCM(362,827) = ( 362 × 827 ) / 1

LCM(362,827) = 299374 / 1

LCM(362,827) = 299374


Lets's calculate GCF of 28,524

2 28, 524
2 14, 262
7, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299374/4

Therefore the LCM of Fractions 362/28,827/524 is 299374/4

Greatest Common Factor of 28,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,524 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 524

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

1,2,4,131,262,524

Greatest Common Factor

We found the factors 28,524 . The biggest common factor number is the GCF number.
So the greatest common factor 28,524 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 362/28, 827/524

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 362/28, 827/524?

Answer: LCM of Numerators as per given numbers 362/28, 827/524 is

LCM of Numerators i.e. for 362,827 is 299374

GCF of denominators i.e. for 28,524 is 4.

Thus, LCM of Fractions is 299374/4.Finally, LCM of Fractions for 362/28, 827/524 is 299374/4.