Least Common Multiple of 25/296, 709/323, 546/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/296, 709/323, 546/566 quickly i.e. 9677850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/296, 709/323, 546/566 is 9677850.

LCM(25/296, 709/323, 546/566) = 9677850

LCM of 25/296, 709/323, 546/566

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 25/296,709/323,546/566

Given numbers are 25/296,709/323,546/566

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 25,709,546

Least Common Multiple of Numerators i.e. LCM of 25,709,546 is 9677850.

GCF of Denominators means GCF of 296,323,566 as per the given fractions.

GCF of 296,323,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,709,546

LCM of Fractions 25/296,709/323,546/566 is 9677850

Given numbers has no common factors except 1. So, there LCM is their product i.e 9677850

Least Common Multiple of 25,709,546 with GCF Formula

Least Common Multiple of 25,709,546 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 25,709,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,709,546) = 1

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

GCF(25,709,546) x common factors =1 x 1 = 1

LCM(25,709,546) = ( 25 × 709 × 546 ) / 1

LCM(25,709,546) = 9677850 / 1

LCM(25,709,546) = 9677850


Lets's calculate GCF of 296,323,566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9677850/1

Therefore the LCM of Fractions 25/296,709/323,546/566 is 9677850

Greatest Common Factor of 296,323,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,323,566 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 296,323,566 . The biggest common factor number is the GCF number.
So the greatest common factor 296,323,566 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 25/296, 709/323, 546/566

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 25/296, 709/323, 546/566?

Answer: LCM of Numerators as per given numbers 25/296, 709/323, 546/566 is

LCM of Numerators i.e. for 25,709,546 is 9677850

GCF of denominators i.e. for 296,323,566 is 1.

Thus, LCM of Fractions is 9677850.Finally, LCM of Fractions for 25/296, 709/323, 546/566 is 9677850.