Least Common Multiple of 31/196, 914/397, 801/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/196, 914/397, 801/870 quickly i.e. 22695534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/196, 914/397, 801/870 is 22695534.

LCM(31/196, 914/397, 801/870) = 22695534

LCM of 31/196, 914/397, 801/870

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 31/196,914/397,801/870

Given numbers are 31/196,914/397,801/870

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 31,914,801

Least Common Multiple of Numerators i.e. LCM of 31,914,801 is 22695534.

GCF of Denominators means GCF of 196,397,870 as per the given fractions.

GCF of 196,397,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,914,801

LCM of Fractions 31/196,914/397,801/870 is 22695534

Given numbers has no common factors except 1. So, there LCM is their product i.e 22695534

Least Common Multiple of 31,914,801 with GCF Formula

Least Common Multiple of 31,914,801 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 31,914,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,914,801) = 1

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

GCF(31,914,801) x common factors =1 x 1 = 1

LCM(31,914,801) = ( 31 × 914 × 801 ) / 1

LCM(31,914,801) = 22695534 / 1

LCM(31,914,801) = 22695534


Lets's calculate GCF of 196,397,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22695534/1

Therefore the LCM of Fractions 31/196,914/397,801/870 is 22695534

Greatest Common Factor of 196,397,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,397,870 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

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 196,397,870 . The biggest common factor number is the GCF number.
So the greatest common factor 196,397,870 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 31/196, 914/397, 801/870

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 31/196, 914/397, 801/870?

Answer: LCM of Numerators as per given numbers 31/196, 914/397, 801/870 is

LCM of Numerators i.e. for 31,914,801 is 22695534

GCF of denominators i.e. for 196,397,870 is 1.

Thus, LCM of Fractions is 22695534.Finally, LCM of Fractions for 31/196, 914/397, 801/870 is 22695534.