Least Common Multiple of 109/428, 424/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/428, 424/264 quickly i.e. 11554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/428, 424/264 is 11554.

LCM(109/428, 424/264) = 11554

LCM of 109/428, 424/264

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 109/428,424/264

Given numbers are 109/428,424/264

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 109,424

Least Common Multiple of Numerators i.e. LCM of 109,424 is 46216.

GCF of Denominators means GCF of 428,264 as per the given fractions.

GCF of 428,264 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,424

LCM of Fractions 109/428,424/264 is 11554

Given numbers has no common factors except 1. So, there LCM is their product i.e 46216

Least Common Multiple of 109,424 with GCF Formula

Least Common Multiple of 109,424 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 109,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,424) = 1

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

GCF(109,424) x common factors =1 x 1 = 1

LCM(109,424) = ( 109 × 424 ) / 1

LCM(109,424) = 46216 / 1

LCM(109,424) = 46216


Lets's calculate GCF of 428,264

2 428, 264
2 214, 132
107, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46216/4

Therefore the LCM of Fractions 109/428,424/264 is 11554

Greatest Common Factor of 428,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,264 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 428,264 . The biggest common factor number is the GCF number.
So the greatest common factor 428,264 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 109/428, 424/264

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 109/428, 424/264?

Answer: LCM of Numerators as per given numbers 109/428, 424/264 is

LCM of Numerators i.e. for 109,424 is 46216

GCF of denominators i.e. for 428,264 is 4.

Thus, LCM of Fractions is 11554.Finally, LCM of Fractions for 109/428, 424/264 is 11554.