Least Common Multiple of 85/273, 588/693, 114/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/273, 588/693, 114/462 quickly i.e. 45220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/273, 588/693, 114/462 is 45220.

LCM(85/273, 588/693, 114/462) = 45220

LCM of 85/273, 588/693, 114/462

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 85/273,588/693,114/462

Given numbers are 85/273,588/693,114/462

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 85,588,114

Least Common Multiple of Numerators i.e. LCM of 85,588,114 is 949620.

GCF of Denominators means GCF of 273,693,462 as per the given fractions.

GCF of 273,693,462 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,588,114

LCM of Fractions 85/273,588/693,114/462 is 45220

2 85, 588, 114
3 85, 294, 57
85, 98, 19

∴ So the LCM of the given numbers is 2 x 3 x 85 x 98 x 19 = 949620

Least Common Multiple of 85,588,114 with GCF Formula

Least Common Multiple of 85,588,114 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 85,588,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,588,114) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(85,588,114) x common factors =1 x 6 = 6

LCM(85,588,114) = ( 85 × 588 × 114 ) / 6

LCM(85,588,114) = 5697720 / 6

LCM(85,588,114) = 949620


Lets's calculate GCF of 273,693,462

3 273, 693, 462
7 91, 231, 154
13, 33, 22

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949620/21

Therefore the LCM of Fractions 85/273,588/693,114/462 is 45220

Greatest Common Factor of 273,693,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,693,462 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

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 273,693,462 . The biggest common factor number is the GCF number.
So the greatest common factor 273,693,462 is 21.


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 85/273, 588/693, 114/462

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 85/273, 588/693, 114/462?

Answer: LCM of Numerators as per given numbers 85/273, 588/693, 114/462 is

LCM of Numerators i.e. for 85,588,114 is 949620

GCF of denominators i.e. for 273,693,462 is 21.

Thus, LCM of Fractions is 45220.Finally, LCM of Fractions for 85/273, 588/693, 114/462 is 45220.