Least Common Multiple of 312/85, 180/1795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/85, 180/1795 quickly i.e. 936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/85, 180/1795 is 936.

LCM(312/85, 180/1795) = 936

LCM of 312/85, 180/1795

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 312/85,180/1795

Given numbers are 312/85,180/1795

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 312,180

Least Common Multiple of Numerators i.e. LCM of 312,180 is 4680.

GCF of Denominators means GCF of 85,1795 as per the given fractions.

GCF of 85,1795 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,180

LCM of Fractions 312/85,180/1795 is 936

2 312, 180
2 156, 90
3 78, 45
26, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 26 x 15 = 4680

Least Common Multiple of 312,180 with GCF Formula

Least Common Multiple of 312,180 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 312,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,180) = 12

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

GCF(312,180) x common factors =12 x 1 = 12

LCM(312,180) = ( 312 × 180 ) / 12

LCM(312,180) = 56160 / 12

LCM(312,180) = 4680


Lets's calculate GCF of 85,1795

5 85, 1795
17, 359

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4680/5

Therefore the LCM of Fractions 312/85,180/1795 is 936

Greatest Common Factor of 85,1795 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,1795 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 1795

List of positive integer factors of 1795 that divides 1795 without a remainder.

1,5,359,1795

Greatest Common Factor

We found the factors 85,1795 . The biggest common factor number is the GCF number.
So the greatest common factor 85,1795 is 5.


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 312/85, 180/1795

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 312/85, 180/1795?

Answer: LCM of Numerators as per given numbers 312/85, 180/1795 is

LCM of Numerators i.e. for 312,180 is 4680

GCF of denominators i.e. for 85,1795 is 5.

Thus, LCM of Fractions is 936.Finally, LCM of Fractions for 312/85, 180/1795 is 936.