Least Common Multiple of 84/619, 97/440, 273/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/619, 97/440, 273/486 quickly i.e. 105924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/619, 97/440, 273/486 is 105924.

LCM(84/619, 97/440, 273/486) = 105924

LCM of 84/619, 97/440, 273/486

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 84/619,97/440,273/486

Given numbers are 84/619,97/440,273/486

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 84,97,273

Least Common Multiple of Numerators i.e. LCM of 84,97,273 is 105924.

GCF of Denominators means GCF of 619,440,486 as per the given fractions.

GCF of 619,440,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,97,273

LCM of Fractions 84/619,97/440,273/486 is 105924

3 84, 97, 273
7 28, 97, 91
4, 97, 13

∴ So the LCM of the given numbers is 3 x 7 x 4 x 97 x 13 = 105924

Least Common Multiple of 84,97,273 with GCF Formula

Least Common Multiple of 84,97,273 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 84,97,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,97,273) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(84,97,273) x common factors =1 x 21 = 21

LCM(84,97,273) = ( 84 × 97 × 273 ) / 21

LCM(84,97,273) = 2224404 / 21

LCM(84,97,273) = 105924


Lets's calculate GCF of 619,440,486

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105924/1

Therefore the LCM of Fractions 84/619,97/440,273/486 is 105924

Greatest Common Factor of 619,440,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,440,486 By Matching Biggest Common Factor Method

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 619,440,486 . The biggest common factor number is the GCF number.
So the greatest common factor 619,440,486 is 1.


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 84/619, 97/440, 273/486

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 84/619, 97/440, 273/486?

Answer: LCM of Numerators as per given numbers 84/619, 97/440, 273/486 is

LCM of Numerators i.e. for 84,97,273 is 105924

GCF of denominators i.e. for 619,440,486 is 1.

Thus, LCM of Fractions is 105924.Finally, LCM of Fractions for 84/619, 97/440, 273/486 is 105924.