Least Common Multiple of 747/551, 436/805, 498/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/551, 436/805, 498/909 quickly i.e. 325692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/551, 436/805, 498/909 is 325692.

LCM(747/551, 436/805, 498/909) = 325692

LCM of 747/551, 436/805, 498/909

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 747/551,436/805,498/909

Given numbers are 747/551,436/805,498/909

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 747,436,498

Least Common Multiple of Numerators i.e. LCM of 747,436,498 is 325692.

GCF of Denominators means GCF of 551,805,909 as per the given fractions.

GCF of 551,805,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,436,498

LCM of Fractions 747/551,436/805,498/909 is 325692

2 747, 436, 498
3 747, 218, 249
83 83, 218, 249
1, 218, 3

∴ So the LCM of the given numbers is 2 x 3 x 83 x 1 x 218 x 3 = 325692

Least Common Multiple of 747,436,498 with GCF Formula

Least Common Multiple of 747,436,498 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 747,436,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,436,498) = 1

common factors(in case of two or more numbers have common factors) = 498

GCF(747,436,498) x common factors =1 x 498 = 498

LCM(747,436,498) = ( 747 × 436 × 498 ) / 498

LCM(747,436,498) = 162194616 / 498

LCM(747,436,498) = 325692


Lets's calculate GCF of 551,805,909

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325692/1

Therefore the LCM of Fractions 747/551,436/805,498/909 is 325692

Greatest Common Factor of 551,805,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,805,909 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 551,805,909 . The biggest common factor number is the GCF number.
So the greatest common factor 551,805,909 is 1.


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 747/551, 436/805, 498/909

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 747/551, 436/805, 498/909?

Answer: LCM of Numerators as per given numbers 747/551, 436/805, 498/909 is

LCM of Numerators i.e. for 747,436,498 is 325692

GCF of denominators i.e. for 551,805,909 is 1.

Thus, LCM of Fractions is 325692.Finally, LCM of Fractions for 747/551, 436/805, 498/909 is 325692.