Least Common Multiple of 682/735, 4125/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/735, 4125/720 quickly i.e. 17050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/735, 4125/720 is 17050.

LCM(682/735, 4125/720) = 17050

LCM of 682/735, 4125/720

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 682/735,4125/720

Given numbers are 682/735,4125/720

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 682,4125

Least Common Multiple of Numerators i.e. LCM of 682,4125 is 255750.

GCF of Denominators means GCF of 735,720 as per the given fractions.

GCF of 735,720 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,4125

LCM of Fractions 682/735,4125/720 is 17050

11 682, 4125
62, 375

∴ So the LCM of the given numbers is 11 x 62 x 375 = 255750

Least Common Multiple of 682,4125 with GCF Formula

Least Common Multiple of 682,4125 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 682,4125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,4125) = 11

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

GCF(682,4125) x common factors =11 x 1 = 11

LCM(682,4125) = ( 682 × 4125 ) / 11

LCM(682,4125) = 2813250 / 11

LCM(682,4125) = 255750


Lets's calculate GCF of 735,720

3 735, 720
5 245, 240
49, 48

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255750/15

Therefore the LCM of Fractions 682/735,4125/720 is 17050

Greatest Common Factor of 735,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,720 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 735,720 . The biggest common factor number is the GCF number.
So the greatest common factor 735,720 is 15.


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 682/735, 4125/720

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 682/735, 4125/720?

Answer: LCM of Numerators as per given numbers 682/735, 4125/720 is

LCM of Numerators i.e. for 682,4125 is 255750

GCF of denominators i.e. for 735,720 is 15.

Thus, LCM of Fractions is 17050.Finally, LCM of Fractions for 682/735, 4125/720 is 17050.