Least Common Multiple of 907/984, 5209/3718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 907/984, 5209/3718 quickly i.e. 4724563/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 907/984, 5209/3718 is 4724563/2.

LCM(907/984, 5209/3718) = 4724563/2

LCM of 907/984, 5209/3718

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 907/984,5209/3718

Given numbers are 907/984,5209/3718

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 907,5209

Least Common Multiple of Numerators i.e. LCM of 907,5209 is 4724563.

GCF of Denominators means GCF of 984,3718 as per the given fractions.

GCF of 984,3718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 907,5209

LCM of Fractions 907/984,5209/3718 is 4724563/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4724563

Least Common Multiple of 907,5209 with GCF Formula

Least Common Multiple of 907,5209 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 907,5209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,5209) = 1

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

GCF(907,5209) x common factors =1 x 1 = 1

LCM(907,5209) = ( 907 × 5209 ) / 1

LCM(907,5209) = 4724563 / 1

LCM(907,5209) = 4724563


Lets's calculate GCF of 984,3718

2 984, 3718
492, 1859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4724563/2

Therefore the LCM of Fractions 907/984,5209/3718 is 4724563/2

Greatest Common Factor of 984,3718 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,3718 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1,2,11,13,22,26,143,169,286,338,1859,3718

Greatest Common Factor

We found the factors 984,3718 . The biggest common factor number is the GCF number.
So the greatest common factor 984,3718 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 907/984, 5209/3718

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 907/984, 5209/3718?

Answer: LCM of Numerators as per given numbers 907/984, 5209/3718 is

LCM of Numerators i.e. for 907,5209 is 4724563

GCF of denominators i.e. for 984,3718 is 2.

Thus, LCM of Fractions is 4724563/2.Finally, LCM of Fractions for 907/984, 5209/3718 is 4724563/2.