Least Common Multiple of 724/69, 785/2274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/69, 785/2274 quickly i.e. 568340/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/69, 785/2274 is 568340/3.

LCM(724/69, 785/2274) = 568340/3

LCM of 724/69, 785/2274

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 724/69,785/2274

Given numbers are 724/69,785/2274

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 724,785

Least Common Multiple of Numerators i.e. LCM of 724,785 is 568340.

GCF of Denominators means GCF of 69,2274 as per the given fractions.

GCF of 69,2274 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,785

LCM of Fractions 724/69,785/2274 is 568340/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 568340

Least Common Multiple of 724,785 with GCF Formula

Least Common Multiple of 724,785 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 724,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,785) = 1

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

GCF(724,785) x common factors =1 x 1 = 1

LCM(724,785) = ( 724 × 785 ) / 1

LCM(724,785) = 568340 / 1

LCM(724,785) = 568340


Lets's calculate GCF of 69,2274

3 69, 2274
23, 758

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 568340/3

Therefore the LCM of Fractions 724/69,785/2274 is 568340/3

Greatest Common Factor of 69,2274 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,2274 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 2274

List of positive integer factors of 2274 that divides 2274 without a remainder.

1,2,3,6,379,758,1137,2274

Greatest Common Factor

We found the factors 69,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 69,2274 is 3.


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 724/69, 785/2274

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 724/69, 785/2274?

Answer: LCM of Numerators as per given numbers 724/69, 785/2274 is

LCM of Numerators i.e. for 724,785 is 568340

GCF of denominators i.e. for 69,2274 is 3.

Thus, LCM of Fractions is 568340/3.Finally, LCM of Fractions for 724/69, 785/2274 is 568340/3.