Least Common Multiple of 868/605, 709/107, 699/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/605, 709/107, 699/870 quickly i.e. 430172988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/605, 709/107, 699/870 is 430172988.

LCM(868/605, 709/107, 699/870) = 430172988

LCM of 868/605, 709/107, 699/870

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 868/605,709/107,699/870

Given numbers are 868/605,709/107,699/870

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 868,709,699

Least Common Multiple of Numerators i.e. LCM of 868,709,699 is 430172988.

GCF of Denominators means GCF of 605,107,870 as per the given fractions.

GCF of 605,107,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,709,699

LCM of Fractions 868/605,709/107,699/870 is 430172988

Given numbers has no common factors except 1. So, there LCM is their product i.e 430172988

Least Common Multiple of 868,709,699 with GCF Formula

Least Common Multiple of 868,709,699 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 868,709,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,709,699) = 1

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

GCF(868,709,699) x common factors =1 x 1 = 1

LCM(868,709,699) = ( 868 × 709 × 699 ) / 1

LCM(868,709,699) = 430172988 / 1

LCM(868,709,699) = 430172988


Lets's calculate GCF of 605,107,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430172988/1

Therefore the LCM of Fractions 868/605,709/107,699/870 is 430172988

Greatest Common Factor of 605,107,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,107,870 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

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 605,107,870 . The biggest common factor number is the GCF number.
So the greatest common factor 605,107,870 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 868/605, 709/107, 699/870

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 868/605, 709/107, 699/870?

Answer: LCM of Numerators as per given numbers 868/605, 709/107, 699/870 is

LCM of Numerators i.e. for 868,709,699 is 430172988

GCF of denominators i.e. for 605,107,870 is 1.

Thus, LCM of Fractions is 430172988.Finally, LCM of Fractions for 868/605, 709/107, 699/870 is 430172988.