Least Common Multiple of 914/750, 8281/6804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 914/750, 8281/6804 quickly i.e. 7568834/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 914/750, 8281/6804 is 7568834/6.

LCM(914/750, 8281/6804) = 7568834/6

LCM of 914/750, 8281/6804

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 914/750,8281/6804

Given numbers are 914/750,8281/6804

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 914,8281

Least Common Multiple of Numerators i.e. LCM of 914,8281 is 7568834.

GCF of Denominators means GCF of 750,6804 as per the given fractions.

GCF of 750,6804 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 914,8281

LCM of Fractions 914/750,8281/6804 is 7568834/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 7568834

Least Common Multiple of 914,8281 with GCF Formula

Least Common Multiple of 914,8281 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 914,8281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,8281) = 1

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

GCF(914,8281) x common factors =1 x 1 = 1

LCM(914,8281) = ( 914 × 8281 ) / 1

LCM(914,8281) = 7568834 / 1

LCM(914,8281) = 7568834


Lets's calculate GCF of 750,6804

2 750, 6804
3 375, 3402
125, 1134

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7568834/6

Therefore the LCM of Fractions 914/750,8281/6804 is 7568834/6

Greatest Common Factor of 750,6804 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,6804 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804

Greatest Common Factor

We found the factors 750,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 750,6804 is 6.


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 914/750, 8281/6804

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 914/750, 8281/6804?

Answer: LCM of Numerators as per given numbers 914/750, 8281/6804 is

LCM of Numerators i.e. for 914,8281 is 7568834

GCF of denominators i.e. for 750,6804 is 6.

Thus, LCM of Fractions is 7568834/6.Finally, LCM of Fractions for 914/750, 8281/6804 is 7568834/6.