Least Common Multiple of 846/710, 1399/1690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 846/710, 1399/1690 quickly i.e. 1183554/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 846/710, 1399/1690 is 1183554/10.

LCM(846/710, 1399/1690) = 1183554/10

LCM of 846/710, 1399/1690

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 846/710,1399/1690

Given numbers are 846/710,1399/1690

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 846,1399

Least Common Multiple of Numerators i.e. LCM of 846,1399 is 1183554.

GCF of Denominators means GCF of 710,1690 as per the given fractions.

GCF of 710,1690 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 846,1399

LCM of Fractions 846/710,1399/1690 is 1183554/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 1183554

Least Common Multiple of 846,1399 with GCF Formula

Least Common Multiple of 846,1399 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 846,1399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,1399) = 1

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

GCF(846,1399) x common factors =1 x 1 = 1

LCM(846,1399) = ( 846 × 1399 ) / 1

LCM(846,1399) = 1183554 / 1

LCM(846,1399) = 1183554


Lets's calculate GCF of 710,1690

2 710, 1690
5 355, 845
71, 169

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1183554/10

Therefore the LCM of Fractions 846/710,1399/1690 is 1183554/10

Greatest Common Factor of 710,1690 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,1690 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1,2,5,10,13,26,65,130,169,338,845,1690

Greatest Common Factor

We found the factors 710,1690 . The biggest common factor number is the GCF number.
So the greatest common factor 710,1690 is 10.


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 846/710, 1399/1690

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 846/710, 1399/1690?

Answer: LCM of Numerators as per given numbers 846/710, 1399/1690 is

LCM of Numerators i.e. for 846,1399 is 1183554

GCF of denominators i.e. for 710,1690 is 10.

Thus, LCM of Fractions is 1183554/10.Finally, LCM of Fractions for 846/710, 1399/1690 is 1183554/10.