Least Common Multiple of 85/39, 219/21, 894/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/39, 219/21, 894/462 quickly i.e. 1849090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/39, 219/21, 894/462 is 1849090.

LCM(85/39, 219/21, 894/462) = 1849090

LCM of 85/39, 219/21, 894/462

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 85/39,219/21,894/462

Given numbers are 85/39,219/21,894/462

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 85,219,894

Least Common Multiple of Numerators i.e. LCM of 85,219,894 is 5547270.

GCF of Denominators means GCF of 39,21,462 as per the given fractions.

GCF of 39,21,462 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,219,894

LCM of Fractions 85/39,219/21,894/462 is 1849090

3 85, 219, 894
85, 73, 298

∴ So the LCM of the given numbers is 3 x 85 x 73 x 298 = 5547270

Least Common Multiple of 85,219,894 with GCF Formula

Least Common Multiple of 85,219,894 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 85,219,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,219,894) = 1

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

GCF(85,219,894) x common factors =1 x 3 = 3

LCM(85,219,894) = ( 85 × 219 × 894 ) / 3

LCM(85,219,894) = 16641810 / 3

LCM(85,219,894) = 5547270


Lets's calculate GCF of 39,21,462

3 39, 21, 462
13, 7, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5547270/3

Therefore the LCM of Fractions 85/39,219/21,894/462 is 1849090

Greatest Common Factor of 39,21,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,21,462 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 39,21,462 . The biggest common factor number is the GCF number.
So the greatest common factor 39,21,462 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 85/39, 219/21, 894/462

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 85/39, 219/21, 894/462?

Answer: LCM of Numerators as per given numbers 85/39, 219/21, 894/462 is

LCM of Numerators i.e. for 85,219,894 is 5547270

GCF of denominators i.e. for 39,21,462 is 3.

Thus, LCM of Fractions is 1849090.Finally, LCM of Fractions for 85/39, 219/21, 894/462 is 1849090.