Least Common Multiple of 726/586, 1745/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/586, 1745/702 quickly i.e. 633435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/586, 1745/702 is 633435.

LCM(726/586, 1745/702) = 633435

LCM of 726/586, 1745/702

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 726/586,1745/702

Given numbers are 726/586,1745/702

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 726,1745

Least Common Multiple of Numerators i.e. LCM of 726,1745 is 1266870.

GCF of Denominators means GCF of 586,702 as per the given fractions.

GCF of 586,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,1745

LCM of Fractions 726/586,1745/702 is 633435

Given numbers has no common factors except 1. So, there LCM is their product i.e 1266870

Least Common Multiple of 726,1745 with GCF Formula

Least Common Multiple of 726,1745 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 726,1745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,1745) = 1

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

GCF(726,1745) x common factors =1 x 1 = 1

LCM(726,1745) = ( 726 × 1745 ) / 1

LCM(726,1745) = 1266870 / 1

LCM(726,1745) = 1266870


Lets's calculate GCF of 586,702

2 586, 702
293, 351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1266870/2

Therefore the LCM of Fractions 726/586,1745/702 is 633435

Greatest Common Factor of 586,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,702 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 586,702 . The biggest common factor number is the GCF number.
So the greatest common factor 586,702 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 726/586, 1745/702

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 726/586, 1745/702?

Answer: LCM of Numerators as per given numbers 726/586, 1745/702 is

LCM of Numerators i.e. for 726,1745 is 1266870

GCF of denominators i.e. for 586,702 is 2.

Thus, LCM of Fractions is 633435.Finally, LCM of Fractions for 726/586, 1745/702 is 633435.