Least Common Multiple of 84/90, 509/84, 861/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/90, 509/84, 861/654 quickly i.e. 292166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/90, 509/84, 861/654 is 292166.

LCM(84/90, 509/84, 861/654) = 292166

LCM of 84/90, 509/84, 861/654

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 84/90,509/84,861/654

Given numbers are 84/90,509/84,861/654

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 84,509,861

Least Common Multiple of Numerators i.e. LCM of 84,509,861 is 1752996.

GCF of Denominators means GCF of 90,84,654 as per the given fractions.

GCF of 90,84,654 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,509,861

LCM of Fractions 84/90,509/84,861/654 is 292166

3 84, 509, 861
7 28, 509, 287
4, 509, 41

∴ So the LCM of the given numbers is 3 x 7 x 4 x 509 x 41 = 1752996

Least Common Multiple of 84,509,861 with GCF Formula

Least Common Multiple of 84,509,861 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 84,509,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,509,861) = 1

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

GCF(84,509,861) x common factors =1 x 21 = 21

LCM(84,509,861) = ( 84 × 509 × 861 ) / 21

LCM(84,509,861) = 36812916 / 21

LCM(84,509,861) = 1752996


Lets's calculate GCF of 90,84,654

2 90, 84, 654
3 45, 42, 327
15, 14, 109

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1752996/6

Therefore the LCM of Fractions 84/90,509/84,861/654 is 292166

Greatest Common Factor of 90,84,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,84,654 By Matching Biggest Common Factor Method

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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 90,84,654 . The biggest common factor number is the GCF number.
So the greatest common factor 90,84,654 is 6.


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 84/90, 509/84, 861/654

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 84/90, 509/84, 861/654?

Answer: LCM of Numerators as per given numbers 84/90, 509/84, 861/654 is

LCM of Numerators i.e. for 84,509,861 is 1752996

GCF of denominators i.e. for 90,84,654 is 6.

Thus, LCM of Fractions is 292166.Finally, LCM of Fractions for 84/90, 509/84, 861/654 is 292166.