Least Common Multiple of 284/93, 162/27, 526/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/93, 162/27, 526/870 quickly i.e. 2016684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/93, 162/27, 526/870 is 2016684.

LCM(284/93, 162/27, 526/870) = 2016684

LCM of 284/93, 162/27, 526/870

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 284/93,162/27,526/870

Given numbers are 284/93,162/27,526/870

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 284,162,526

Least Common Multiple of Numerators i.e. LCM of 284,162,526 is 6050052.

GCF of Denominators means GCF of 93,27,870 as per the given fractions.

GCF of 93,27,870 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,162,526

LCM of Fractions 284/93,162/27,526/870 is 2016684

2 284, 162, 526
142, 81, 263

∴ So the LCM of the given numbers is 2 x 142 x 81 x 263 = 6050052

Least Common Multiple of 284,162,526 with GCF Formula

Least Common Multiple of 284,162,526 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 284,162,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,162,526) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(284,162,526) x common factors =2 x 2 = 4

LCM(284,162,526) = ( 284 × 162 × 526 ) / 4

LCM(284,162,526) = 24200208 / 4

LCM(284,162,526) = 6050052


Lets's calculate GCF of 93,27,870

3 93, 27, 870
31, 9, 290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6050052/3

Therefore the LCM of Fractions 284/93,162/27,526/870 is 2016684

Greatest Common Factor of 93,27,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,27,870 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 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 93,27,870 . The biggest common factor number is the GCF number.
So the greatest common factor 93,27,870 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 284/93, 162/27, 526/870

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 284/93, 162/27, 526/870?

Answer: LCM of Numerators as per given numbers 284/93, 162/27, 526/870 is

LCM of Numerators i.e. for 284,162,526 is 6050052

GCF of denominators i.e. for 93,27,870 is 3.

Thus, LCM of Fractions is 2016684.Finally, LCM of Fractions for 284/93, 162/27, 526/870 is 2016684.