Least Common Multiple of 61/585, 762/246, 302/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/585, 762/246, 302/894 quickly i.e. 2339594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/585, 762/246, 302/894 is 2339594.

LCM(61/585, 762/246, 302/894) = 2339594

LCM of 61/585, 762/246, 302/894

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 61/585,762/246,302/894

Given numbers are 61/585,762/246,302/894

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 61,762,302

Least Common Multiple of Numerators i.e. LCM of 61,762,302 is 7018782.

GCF of Denominators means GCF of 585,246,894 as per the given fractions.

GCF of 585,246,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,762,302

LCM of Fractions 61/585,762/246,302/894 is 2339594

2 61, 762, 302
61, 381, 151

∴ So the LCM of the given numbers is 2 x 61 x 381 x 151 = 7018782

Least Common Multiple of 61,762,302 with GCF Formula

Least Common Multiple of 61,762,302 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 61,762,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,762,302) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,762,302) x common factors =1 x 2 = 2

LCM(61,762,302) = ( 61 × 762 × 302 ) / 2

LCM(61,762,302) = 14037564 / 2

LCM(61,762,302) = 7018782


Lets's calculate GCF of 585,246,894

3 585, 246, 894
195, 82, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7018782/3

Therefore the LCM of Fractions 61/585,762/246,302/894 is 2339594

Greatest Common Factor of 585,246,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,246,894 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 585,246,894 . The biggest common factor number is the GCF number.
So the greatest common factor 585,246,894 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 61/585, 762/246, 302/894

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 61/585, 762/246, 302/894?

Answer: LCM of Numerators as per given numbers 61/585, 762/246, 302/894 is

LCM of Numerators i.e. for 61,762,302 is 7018782

GCF of denominators i.e. for 585,246,894 is 3.

Thus, LCM of Fractions is 2339594.Finally, LCM of Fractions for 61/585, 762/246, 302/894 is 2339594.