Least Common Multiple of 868/15, 350/87, 404/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/15, 350/87, 404/670 quickly i.e. 2191700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/15, 350/87, 404/670 is 2191700.

LCM(868/15, 350/87, 404/670) = 2191700

LCM of 868/15, 350/87, 404/670

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 868/15,350/87,404/670

Given numbers are 868/15,350/87,404/670

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 868,350,404

Least Common Multiple of Numerators i.e. LCM of 868,350,404 is 2191700.

GCF of Denominators means GCF of 15,87,670 as per the given fractions.

GCF of 15,87,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,350,404

LCM of Fractions 868/15,350/87,404/670 is 2191700

2 868, 350, 404
2 434, 175, 202
7 217, 175, 101
31, 25, 101

∴ So the LCM of the given numbers is 2 x 2 x 7 x 31 x 25 x 101 = 2191700

Least Common Multiple of 868,350,404 with GCF Formula

Least Common Multiple of 868,350,404 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 868,350,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,350,404) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(868,350,404) x common factors =2 x 28 = 56

LCM(868,350,404) = ( 868 × 350 × 404 ) / 56

LCM(868,350,404) = 122735200 / 56

LCM(868,350,404) = 2191700


Lets's calculate GCF of 15,87,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2191700/1

Therefore the LCM of Fractions 868/15,350/87,404/670 is 2191700

Greatest Common Factor of 15,87,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,87,670 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 15,87,670 . The biggest common factor number is the GCF number.
So the greatest common factor 15,87,670 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 868/15, 350/87, 404/670

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 868/15, 350/87, 404/670?

Answer: LCM of Numerators as per given numbers 868/15, 350/87, 404/670 is

LCM of Numerators i.e. for 868,350,404 is 2191700

GCF of denominators i.e. for 15,87,670 is 1.

Thus, LCM of Fractions is 2191700.Finally, LCM of Fractions for 868/15, 350/87, 404/670 is 2191700.