Least Common Multiple of 31/372, 225/824, 914/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/372, 225/824, 914/714 quickly i.e. 3187575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/372, 225/824, 914/714 is 3187575.

LCM(31/372, 225/824, 914/714) = 3187575

LCM of 31/372, 225/824, 914/714

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 31/372,225/824,914/714

Given numbers are 31/372,225/824,914/714

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 31,225,914

Least Common Multiple of Numerators i.e. LCM of 31,225,914 is 6375150.

GCF of Denominators means GCF of 372,824,714 as per the given fractions.

GCF of 372,824,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,225,914

LCM of Fractions 31/372,225/824,914/714 is 3187575

Given numbers has no common factors except 1. So, there LCM is their product i.e 6375150

Least Common Multiple of 31,225,914 with GCF Formula

Least Common Multiple of 31,225,914 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 31,225,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,225,914) = 1

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

GCF(31,225,914) x common factors =1 x 1 = 1

LCM(31,225,914) = ( 31 × 225 × 914 ) / 1

LCM(31,225,914) = 6375150 / 1

LCM(31,225,914) = 6375150


Lets's calculate GCF of 372,824,714

2 372, 824, 714
186, 412, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6375150/2

Therefore the LCM of Fractions 31/372,225/824,914/714 is 3187575

Greatest Common Factor of 372,824,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,824,714 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 372,824,714 . The biggest common factor number is the GCF number.
So the greatest common factor 372,824,714 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 31/372, 225/824, 914/714

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 31/372, 225/824, 914/714?

Answer: LCM of Numerators as per given numbers 31/372, 225/824, 914/714 is

LCM of Numerators i.e. for 31,225,914 is 6375150

GCF of denominators i.e. for 372,824,714 is 2.

Thus, LCM of Fractions is 3187575.Finally, LCM of Fractions for 31/372, 225/824, 914/714 is 3187575.