Least Common Multiple of 84/584, 60/242, 672/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/584, 60/242, 672/842 quickly i.e. 1680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/584, 60/242, 672/842 is 1680.

LCM(84/584, 60/242, 672/842) = 1680

LCM of 84/584, 60/242, 672/842

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 84/584,60/242,672/842

Given numbers are 84/584,60/242,672/842

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 84,60,672

Least Common Multiple of Numerators i.e. LCM of 84,60,672 is 3360.

GCF of Denominators means GCF of 584,242,842 as per the given fractions.

GCF of 584,242,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,60,672

LCM of Fractions 84/584,60/242,672/842 is 1680

2 84, 60, 672
2 42, 30, 336
3 21, 15, 168
7 7, 5, 56
1, 5, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 5 x 8 = 3360

Least Common Multiple of 84,60,672 with GCF Formula

Least Common Multiple of 84,60,672 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 84,60,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,60,672) = 12

common factors(in case of two or more numbers have common factors) = 84

GCF(84,60,672) x common factors =12 x 84 = 1008

LCM(84,60,672) = ( 84 × 60 × 672 ) / 1008

LCM(84,60,672) = 3386880 / 1008

LCM(84,60,672) = 3360


Lets's calculate GCF of 584,242,842

2 584, 242, 842
292, 121, 421

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/2

Therefore the LCM of Fractions 84/584,60/242,672/842 is 1680

Greatest Common Factor of 584,242,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,242,842 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 584,242,842 . The biggest common factor number is the GCF number.
So the greatest common factor 584,242,842 is 2.


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 84/584, 60/242, 672/842

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 84/584, 60/242, 672/842?

Answer: LCM of Numerators as per given numbers 84/584, 60/242, 672/842 is

LCM of Numerators i.e. for 84,60,672 is 3360

GCF of denominators i.e. for 584,242,842 is 2.

Thus, LCM of Fractions is 1680.Finally, LCM of Fractions for 84/584, 60/242, 672/842 is 1680.