Least Common Multiple of 800/75, 3797/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 800/75, 3797/129 quickly i.e. 3037600/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/75, 3797/129 is 3037600/3.

LCM(800/75, 3797/129) = 3037600/3

LCM of 800/75, 3797/129

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 800/75,3797/129

Given numbers are 800/75,3797/129

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 800,3797

Least Common Multiple of Numerators i.e. LCM of 800,3797 is 3037600.

GCF of Denominators means GCF of 75,129 as per the given fractions.

GCF of 75,129 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,3797

LCM of Fractions 800/75,3797/129 is 3037600/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 3037600

Least Common Multiple of 800,3797 with GCF Formula

Least Common Multiple of 800,3797 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 800,3797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,3797) = 1

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

GCF(800,3797) x common factors =1 x 1 = 1

LCM(800,3797) = ( 800 × 3797 ) / 1

LCM(800,3797) = 3037600 / 1

LCM(800,3797) = 3037600


Lets's calculate GCF of 75,129

3 75, 129
25, 43

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3037600/3

Therefore the LCM of Fractions 800/75,3797/129 is 3037600/3

Greatest Common Factor of 75,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,129 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 75,129 . The biggest common factor number is the GCF number.
So the greatest common factor 75,129 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 800/75, 3797/129

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 800/75, 3797/129?

Answer: LCM of Numerators as per given numbers 800/75, 3797/129 is

LCM of Numerators i.e. for 800,3797 is 3037600

GCF of denominators i.e. for 75,129 is 3.

Thus, LCM of Fractions is 3037600/3.Finally, LCM of Fractions for 800/75, 3797/129 is 3037600/3.