Least Common Multiple of 309/78, 785/90, 234/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/78, 785/90, 234/441 quickly i.e. 6306690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/78, 785/90, 234/441 is 6306690.

LCM(309/78, 785/90, 234/441) = 6306690

LCM of 309/78, 785/90, 234/441

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 309/78,785/90,234/441

Given numbers are 309/78,785/90,234/441

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 309,785,234

Least Common Multiple of Numerators i.e. LCM of 309,785,234 is 18920070.

GCF of Denominators means GCF of 78,90,441 as per the given fractions.

GCF of 78,90,441 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,785,234

LCM of Fractions 309/78,785/90,234/441 is 6306690

3 309, 785, 234
103, 785, 78

∴ So the LCM of the given numbers is 3 x 103 x 785 x 78 = 18920070

Least Common Multiple of 309,785,234 with GCF Formula

Least Common Multiple of 309,785,234 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 309,785,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,785,234) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(309,785,234) x common factors =1 x 3 = 3

LCM(309,785,234) = ( 309 × 785 × 234 ) / 3

LCM(309,785,234) = 56760210 / 3

LCM(309,785,234) = 18920070


Lets's calculate GCF of 78,90,441

3 78, 90, 441
26, 30, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18920070/3

Therefore the LCM of Fractions 309/78,785/90,234/441 is 6306690

Greatest Common Factor of 78,90,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,90,441 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 78,90,441 . The biggest common factor number is the GCF number.
So the greatest common factor 78,90,441 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 309/78, 785/90, 234/441

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 309/78, 785/90, 234/441?

Answer: LCM of Numerators as per given numbers 309/78, 785/90, 234/441 is

LCM of Numerators i.e. for 309,785,234 is 18920070

GCF of denominators i.e. for 78,90,441 is 3.

Thus, LCM of Fractions is 6306690.Finally, LCM of Fractions for 309/78, 785/90, 234/441 is 6306690.