Least Common Multiple of 23/578, 5900/9757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/578, 5900/9757 quickly i.e. 135700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/578, 5900/9757 is 135700.

LCM(23/578, 5900/9757) = 135700

LCM of 23/578, 5900/9757

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 23/578,5900/9757

Given numbers are 23/578,5900/9757

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 23,5900

Least Common Multiple of Numerators i.e. LCM of 23,5900 is 135700.

GCF of Denominators means GCF of 578,9757 as per the given fractions.

GCF of 578,9757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,5900

LCM of Fractions 23/578,5900/9757 is 135700

Given numbers has no common factors except 1. So, there LCM is their product i.e 135700

Least Common Multiple of 23,5900 with GCF Formula

Least Common Multiple of 23,5900 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 23,5900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,5900) = 1

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

GCF(23,5900) x common factors =1 x 1 = 1

LCM(23,5900) = ( 23 × 5900 ) / 1

LCM(23,5900) = 135700 / 1

LCM(23,5900) = 135700


Lets's calculate GCF of 578,9757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135700/1

Therefore the LCM of Fractions 23/578,5900/9757 is 135700

Greatest Common Factor of 578,9757 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,9757 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1,11,887,9757

Greatest Common Factor

We found the factors 578,9757 . The biggest common factor number is the GCF number.
So the greatest common factor 578,9757 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 23/578, 5900/9757

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 23/578, 5900/9757?

Answer: LCM of Numerators as per given numbers 23/578, 5900/9757 is

LCM of Numerators i.e. for 23,5900 is 135700

GCF of denominators i.e. for 578,9757 is 1.

Thus, LCM of Fractions is 135700.Finally, LCM of Fractions for 23/578, 5900/9757 is 135700.