Least Common Multiple of 2685/970, 5764/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2685/970, 5764/592 quickly i.e. 7738170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2685/970, 5764/592 is 7738170.

LCM(2685/970, 5764/592) = 7738170

LCM of 2685/970, 5764/592

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 2685/970,5764/592

Given numbers are 2685/970,5764/592

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 2685,5764

Least Common Multiple of Numerators i.e. LCM of 2685,5764 is 15476340.

GCF of Denominators means GCF of 970,592 as per the given fractions.

GCF of 970,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2685,5764

LCM of Fractions 2685/970,5764/592 is 7738170

Given numbers has no common factors except 1. So, there LCM is their product i.e 15476340

Least Common Multiple of 2685,5764 with GCF Formula

Least Common Multiple of 2685,5764 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 2685,5764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2685,5764) = 1

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

GCF(2685,5764) x common factors =1 x 1 = 1

LCM(2685,5764) = ( 2685 × 5764 ) / 1

LCM(2685,5764) = 15476340 / 1

LCM(2685,5764) = 15476340


Lets's calculate GCF of 970,592

2 970, 592
485, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15476340/2

Therefore the LCM of Fractions 2685/970,5764/592 is 7738170

Greatest Common Factor of 970,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,592 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 970,592 . The biggest common factor number is the GCF number.
So the greatest common factor 970,592 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 2685/970, 5764/592

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 2685/970, 5764/592?

Answer: LCM of Numerators as per given numbers 2685/970, 5764/592 is

LCM of Numerators i.e. for 2685,5764 is 15476340

GCF of denominators i.e. for 970,592 is 2.

Thus, LCM of Fractions is 7738170.Finally, LCM of Fractions for 2685/970, 5764/592 is 7738170.