Least Common Multiple of 5780/623, 9645/2143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5780/623, 9645/2143 quickly i.e. 11149620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5780/623, 9645/2143 is 11149620.

LCM(5780/623, 9645/2143) = 11149620

LCM of 5780/623, 9645/2143

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 5780/623,9645/2143

Given numbers are 5780/623,9645/2143

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 5780,9645

Least Common Multiple of Numerators i.e. LCM of 5780,9645 is 11149620.

GCF of Denominators means GCF of 623,2143 as per the given fractions.

GCF of 623,2143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5780,9645

LCM of Fractions 5780/623,9645/2143 is 11149620

5 5780, 9645
1156, 1929

∴ So the LCM of the given numbers is 5 x 1156 x 1929 = 11149620

Least Common Multiple of 5780,9645 with GCF Formula

Least Common Multiple of 5780,9645 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 5780,9645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5780,9645) = 5

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

GCF(5780,9645) x common factors =5 x 1 = 5

LCM(5780,9645) = ( 5780 × 9645 ) / 5

LCM(5780,9645) = 55748100 / 5

LCM(5780,9645) = 11149620


Lets's calculate GCF of 623,2143

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11149620/1

Therefore the LCM of Fractions 5780/623,9645/2143 is 11149620

Greatest Common Factor of 623,2143 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,2143 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 2143

List of positive integer factors of 2143 that divides 2143 without a remainder.

1,2143

Greatest Common Factor

We found the factors 623,2143 . The biggest common factor number is the GCF number.
So the greatest common factor 623,2143 is 1.


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 5780/623, 9645/2143

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 5780/623, 9645/2143?

Answer: LCM of Numerators as per given numbers 5780/623, 9645/2143 is

LCM of Numerators i.e. for 5780,9645 is 11149620

GCF of denominators i.e. for 623,2143 is 1.

Thus, LCM of Fractions is 11149620.Finally, LCM of Fractions for 5780/623, 9645/2143 is 11149620.