Least Common Multiple of 84/93, 474/27, 672/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/93, 474/27, 672/849 quickly i.e. 17696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/93, 474/27, 672/849 is 17696.

LCM(84/93, 474/27, 672/849) = 17696

LCM of 84/93, 474/27, 672/849

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 84/93,474/27,672/849

Given numbers are 84/93,474/27,672/849

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 84,474,672

Least Common Multiple of Numerators i.e. LCM of 84,474,672 is 53088.

GCF of Denominators means GCF of 93,27,849 as per the given fractions.

GCF of 93,27,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,474,672

LCM of Fractions 84/93,474/27,672/849 is 17696

2 84, 474, 672
2 42, 237, 336
3 21, 237, 168
7 7, 79, 56
1, 79, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 79 x 8 = 53088

Least Common Multiple of 84,474,672 with GCF Formula

Least Common Multiple of 84,474,672 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 84,474,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,474,672) = 6

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

GCF(84,474,672) x common factors =6 x 84 = 504

LCM(84,474,672) = ( 84 × 474 × 672 ) / 504

LCM(84,474,672) = 26756352 / 504

LCM(84,474,672) = 53088


Lets's calculate GCF of 93,27,849

3 93, 27, 849
31, 9, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53088/3

Therefore the LCM of Fractions 84/93,474/27,672/849 is 17696

Greatest Common Factor of 93,27,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,27,849 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 93,27,849 . The biggest common factor number is the GCF number.
So the greatest common factor 93,27,849 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 84/93, 474/27, 672/849

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 84/93, 474/27, 672/849?

Answer: LCM of Numerators as per given numbers 84/93, 474/27, 672/849 is

LCM of Numerators i.e. for 84,474,672 is 53088

GCF of denominators i.e. for 93,27,849 is 3.

Thus, LCM of Fractions is 17696.Finally, LCM of Fractions for 84/93, 474/27, 672/849 is 17696.