Least Common Multiple of 312/870, 3386/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/870, 3386/180 quickly i.e. 528216/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/870, 3386/180 is 528216/30.

LCM(312/870, 3386/180) = 528216/30

LCM of 312/870, 3386/180

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 312/870,3386/180

Given numbers are 312/870,3386/180

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 312,3386

Least Common Multiple of Numerators i.e. LCM of 312,3386 is 528216.

GCF of Denominators means GCF of 870,180 as per the given fractions.

GCF of 870,180 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,3386

LCM of Fractions 312/870,3386/180 is 528216/30

2 312, 3386
156, 1693

∴ So the LCM of the given numbers is 2 x 156 x 1693 = 528216

Least Common Multiple of 312,3386 with GCF Formula

Least Common Multiple of 312,3386 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 312,3386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,3386) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(312,3386) x common factors =2 x 1 = 2

LCM(312,3386) = ( 312 × 3386 ) / 2

LCM(312,3386) = 1056432 / 2

LCM(312,3386) = 528216


Lets's calculate GCF of 870,180

2 870, 180
3 435, 90
5 145, 30
29, 6

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528216/30

Therefore the LCM of Fractions 312/870,3386/180 is 528216/30

Greatest Common Factor of 870,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,180 By Matching Biggest Common Factor Method

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

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 870,180 . The biggest common factor number is the GCF number.
So the greatest common factor 870,180 is 30.


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 312/870, 3386/180

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 312/870, 3386/180?

Answer: LCM of Numerators as per given numbers 312/870, 3386/180 is

LCM of Numerators i.e. for 312,3386 is 528216

GCF of denominators i.e. for 870,180 is 30.

Thus, LCM of Fractions is 528216/30.Finally, LCM of Fractions for 312/870, 3386/180 is 528216/30.