Least Common Multiple of 312/295, 3716/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/295, 3716/873 quickly i.e. 289848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/295, 3716/873 is 289848.

LCM(312/295, 3716/873) = 289848

LCM of 312/295, 3716/873

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 312/295,3716/873

Given numbers are 312/295,3716/873

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 312,3716

Least Common Multiple of Numerators i.e. LCM of 312,3716 is 289848.

GCF of Denominators means GCF of 295,873 as per the given fractions.

GCF of 295,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,3716

LCM of Fractions 312/295,3716/873 is 289848

2 312, 3716
2 156, 1858
78, 929

∴ So the LCM of the given numbers is 2 x 2 x 78 x 929 = 289848

Least Common Multiple of 312,3716 with GCF Formula

Least Common Multiple of 312,3716 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 312,3716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,3716) = 4

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

GCF(312,3716) x common factors =4 x 1 = 4

LCM(312,3716) = ( 312 × 3716 ) / 4

LCM(312,3716) = 1159392 / 4

LCM(312,3716) = 289848


Lets's calculate GCF of 295,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289848/1

Therefore the LCM of Fractions 312/295,3716/873 is 289848

Greatest Common Factor of 295,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,873 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 295,873 . The biggest common factor number is the GCF number.
So the greatest common factor 295,873 is 1.


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 312/295, 3716/873

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 312/295, 3716/873?

Answer: LCM of Numerators as per given numbers 312/295, 3716/873 is

LCM of Numerators i.e. for 312,3716 is 289848

GCF of denominators i.e. for 295,873 is 1.

Thus, LCM of Fractions is 289848.Finally, LCM of Fractions for 312/295, 3716/873 is 289848.