Least Common Multiple of 309/234, 624/798, 611/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/234, 624/798, 611/987 quickly i.e. 1006928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/234, 624/798, 611/987 is 1006928.

LCM(309/234, 624/798, 611/987) = 1006928

LCM of 309/234, 624/798, 611/987

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 309/234,624/798,611/987

Given numbers are 309/234,624/798,611/987

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 309,624,611

Least Common Multiple of Numerators i.e. LCM of 309,624,611 is 3020784.

GCF of Denominators means GCF of 234,798,987 as per the given fractions.

GCF of 234,798,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,624,611

LCM of Fractions 309/234,624/798,611/987 is 1006928

3 309, 624, 611
13 103, 208, 611
103, 16, 47

∴ So the LCM of the given numbers is 3 x 13 x 103 x 16 x 47 = 3020784

Least Common Multiple of 309,624,611 with GCF Formula

Least Common Multiple of 309,624,611 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 309,624,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,624,611) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(309,624,611) x common factors =1 x 39 = 39

LCM(309,624,611) = ( 309 × 624 × 611 ) / 39

LCM(309,624,611) = 117810576 / 39

LCM(309,624,611) = 3020784


Lets's calculate GCF of 234,798,987

3 234, 798, 987
78, 266, 329

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3020784/3

Therefore the LCM of Fractions 309/234,624/798,611/987 is 1006928

Greatest Common Factor of 234,798,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,798,987 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 234,798,987 . The biggest common factor number is the GCF number.
So the greatest common factor 234,798,987 is 3.


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 309/234, 624/798, 611/987

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 309/234, 624/798, 611/987?

Answer: LCM of Numerators as per given numbers 309/234, 624/798, 611/987 is

LCM of Numerators i.e. for 309,624,611 is 3020784

GCF of denominators i.e. for 234,798,987 is 3.

Thus, LCM of Fractions is 1006928.Finally, LCM of Fractions for 309/234, 624/798, 611/987 is 1006928.