Least Common Multiple of 775/543, 2628/7964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 775/543, 2628/7964 quickly i.e. 2036700/181 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 775/543, 2628/7964 is 2036700/181.

LCM(775/543, 2628/7964) = 2036700/181

LCM of 775/543, 2628/7964

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 775/543,2628/7964

Given numbers are 775/543,2628/7964

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 775,2628

Least Common Multiple of Numerators i.e. LCM of 775,2628 is 2036700.

GCF of Denominators means GCF of 543,7964 as per the given fractions.

GCF of 543,7964 is 181 as it is the largest common factor for these numbers.

Lets's calculate LCM of 775,2628

LCM of Fractions 775/543,2628/7964 is 2036700/181

Given numbers has no common factors except 1. So, there LCM is their product i.e 2036700

Least Common Multiple of 775,2628 with GCF Formula

Least Common Multiple of 775,2628 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 775,2628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,2628) = 1

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

GCF(775,2628) x common factors =1 x 1 = 1

LCM(775,2628) = ( 775 × 2628 ) / 1

LCM(775,2628) = 2036700 / 1

LCM(775,2628) = 2036700


Lets's calculate GCF of 543,7964

181 543, 7964
3, 44

∴ So the GCF of the given numbers is 181 = 181

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2036700/181

Therefore the LCM of Fractions 775/543,2628/7964 is 2036700/181

Greatest Common Factor of 543,7964 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,7964 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 7964

List of positive integer factors of 7964 that divides 7964 without a remainder.

1,2,4,11,22,44,181,362,724,1991,3982,7964

Greatest Common Factor

We found the factors 543,7964 . The biggest common factor number is the GCF number.
So the greatest common factor 543,7964 is 181.


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 775/543, 2628/7964

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 775/543, 2628/7964?

Answer: LCM of Numerators as per given numbers 775/543, 2628/7964 is

LCM of Numerators i.e. for 775,2628 is 2036700

GCF of denominators i.e. for 543,7964 is 181.

Thus, LCM of Fractions is 2036700/181.Finally, LCM of Fractions for 775/543, 2628/7964 is 2036700/181.