Least Common Multiple of 84/95, 462/69, 396/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/95, 462/69, 396/568 quickly i.e. 2772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/95, 462/69, 396/568 is 2772.

LCM(84/95, 462/69, 396/568) = 2772

LCM of 84/95, 462/69, 396/568

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 84/95,462/69,396/568

Given numbers are 84/95,462/69,396/568

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 84,462,396

Least Common Multiple of Numerators i.e. LCM of 84,462,396 is 2772.

GCF of Denominators means GCF of 95,69,568 as per the given fractions.

GCF of 95,69,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,462,396

LCM of Fractions 84/95,462/69,396/568 is 2772

2 84, 462, 396
2 42, 231, 198
3 21, 231, 99
7 7, 77, 33
11 1, 11, 33
1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 11 x 1 x 1 x 3 = 2772

Least Common Multiple of 84,462,396 with GCF Formula

Least Common Multiple of 84,462,396 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 84,462,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,462,396) = 6

common factors(in case of two or more numbers have common factors) = 924

GCF(84,462,396) x common factors =6 x 924 = 5544

LCM(84,462,396) = ( 84 × 462 × 396 ) / 5544

LCM(84,462,396) = 15367968 / 5544

LCM(84,462,396) = 2772


Lets's calculate GCF of 95,69,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2772/1

Therefore the LCM of Fractions 84/95,462/69,396/568 is 2772

Greatest Common Factor of 95,69,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,69,568 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 95,69,568 . The biggest common factor number is the GCF number.
So the greatest common factor 95,69,568 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/95, 462/69, 396/568

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 84/95, 462/69, 396/568?

Answer: LCM of Numerators as per given numbers 84/95, 462/69, 396/568 is

LCM of Numerators i.e. for 84,462,396 is 2772

GCF of denominators i.e. for 95,69,568 is 1.

Thus, LCM of Fractions is 2772.Finally, LCM of Fractions for 84/95, 462/69, 396/568 is 2772.