Least Common Multiple of 84/530, 216/272, 346/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/530, 216/272, 346/870 quickly i.e. 130788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/530, 216/272, 346/870 is 130788.

LCM(84/530, 216/272, 346/870) = 130788

LCM of 84/530, 216/272, 346/870

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 84/530,216/272,346/870

Given numbers are 84/530,216/272,346/870

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 84,216,346

Least Common Multiple of Numerators i.e. LCM of 84,216,346 is 261576.

GCF of Denominators means GCF of 530,272,870 as per the given fractions.

GCF of 530,272,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,216,346

LCM of Fractions 84/530,216/272,346/870 is 130788

2 84, 216, 346
2 42, 108, 173
3 21, 54, 173
7, 18, 173

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 18 x 173 = 261576

Least Common Multiple of 84,216,346 with GCF Formula

Least Common Multiple of 84,216,346 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 84,216,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,216,346) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,216,346) x common factors =2 x 12 = 24

LCM(84,216,346) = ( 84 × 216 × 346 ) / 24

LCM(84,216,346) = 6277824 / 24

LCM(84,216,346) = 261576


Lets's calculate GCF of 530,272,870

2 530, 272, 870
265, 136, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261576/2

Therefore the LCM of Fractions 84/530,216/272,346/870 is 130788

Greatest Common Factor of 530,272,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,272,870 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

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 530,272,870 . The biggest common factor number is the GCF number.
So the greatest common factor 530,272,870 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 84/530, 216/272, 346/870

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 84/530, 216/272, 346/870?

Answer: LCM of Numerators as per given numbers 84/530, 216/272, 346/870 is

LCM of Numerators i.e. for 84,216,346 is 261576

GCF of denominators i.e. for 530,272,870 is 2.

Thus, LCM of Fractions is 130788.Finally, LCM of Fractions for 84/530, 216/272, 346/870 is 130788.