Least Common Multiple of 515/994, 3738/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/994, 3738/756 quickly i.e. 137505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/994, 3738/756 is 137505.

LCM(515/994, 3738/756) = 137505

LCM of 515/994, 3738/756

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 515/994,3738/756

Given numbers are 515/994,3738/756

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 515,3738

Least Common Multiple of Numerators i.e. LCM of 515,3738 is 1925070.

GCF of Denominators means GCF of 994,756 as per the given fractions.

GCF of 994,756 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,3738

LCM of Fractions 515/994,3738/756 is 137505

Given numbers has no common factors except 1. So, there LCM is their product i.e 1925070

Least Common Multiple of 515,3738 with GCF Formula

Least Common Multiple of 515,3738 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 515,3738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,3738) = 1

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

GCF(515,3738) x common factors =1 x 1 = 1

LCM(515,3738) = ( 515 × 3738 ) / 1

LCM(515,3738) = 1925070 / 1

LCM(515,3738) = 1925070


Lets's calculate GCF of 994,756

2 994, 756
7 497, 378
71, 54

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1925070/14

Therefore the LCM of Fractions 515/994,3738/756 is 137505

Greatest Common Factor of 994,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,756 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 994,756 . The biggest common factor number is the GCF number.
So the greatest common factor 994,756 is 14.


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 515/994, 3738/756

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 515/994, 3738/756?

Answer: LCM of Numerators as per given numbers 515/994, 3738/756 is

LCM of Numerators i.e. for 515,3738 is 1925070

GCF of denominators i.e. for 994,756 is 14.

Thus, LCM of Fractions is 137505.Finally, LCM of Fractions for 515/994, 3738/756 is 137505.