Least Common Multiple of 2800/794, 6775/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2800/794, 6775/754 quickly i.e. 379400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2800/794, 6775/754 is 379400.

LCM(2800/794, 6775/754) = 379400

LCM of 2800/794, 6775/754

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 2800/794,6775/754

Given numbers are 2800/794,6775/754

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 2800,6775

Least Common Multiple of Numerators i.e. LCM of 2800,6775 is 758800.

GCF of Denominators means GCF of 794,754 as per the given fractions.

GCF of 794,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2800,6775

LCM of Fractions 2800/794,6775/754 is 379400

5 2800, 6775
5 560, 1355
112, 271

∴ So the LCM of the given numbers is 5 x 5 x 112 x 271 = 758800

Least Common Multiple of 2800,6775 with GCF Formula

Least Common Multiple of 2800,6775 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 2800,6775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2800,6775) = 25

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

GCF(2800,6775) x common factors =25 x 1 = 25

LCM(2800,6775) = ( 2800 × 6775 ) / 25

LCM(2800,6775) = 18970000 / 25

LCM(2800,6775) = 758800


Lets's calculate GCF of 794,754

2 794, 754
397, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 758800/2

Therefore the LCM of Fractions 2800/794,6775/754 is 379400

Greatest Common Factor of 794,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,754 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 794,754 . The biggest common factor number is the GCF number.
So the greatest common factor 794,754 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 2800/794, 6775/754

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 2800/794, 6775/754?

Answer: LCM of Numerators as per given numbers 2800/794, 6775/754 is

LCM of Numerators i.e. for 2800,6775 is 758800

GCF of denominators i.e. for 794,754 is 2.

Thus, LCM of Fractions is 379400.Finally, LCM of Fractions for 2800/794, 6775/754 is 379400.