Least Common Multiple of 47/242, 25/236, 516/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/242, 25/236, 516/892 quickly i.e. 303150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/242, 25/236, 516/892 is 303150.

LCM(47/242, 25/236, 516/892) = 303150

LCM of 47/242, 25/236, 516/892

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 47/242,25/236,516/892

Given numbers are 47/242,25/236,516/892

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 47,25,516

Least Common Multiple of Numerators i.e. LCM of 47,25,516 is 606300.

GCF of Denominators means GCF of 242,236,892 as per the given fractions.

GCF of 242,236,892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,25,516

LCM of Fractions 47/242,25/236,516/892 is 303150

Given numbers has no common factors except 1. So, there LCM is their product i.e 606300

Least Common Multiple of 47,25,516 with GCF Formula

Least Common Multiple of 47,25,516 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 47,25,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,25,516) = 1

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

GCF(47,25,516) x common factors =1 x 1 = 1

LCM(47,25,516) = ( 47 × 25 × 516 ) / 1

LCM(47,25,516) = 606300 / 1

LCM(47,25,516) = 606300


Lets's calculate GCF of 242,236,892

2 242, 236, 892
121, 118, 446

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606300/2

Therefore the LCM of Fractions 47/242,25/236,516/892 is 303150

Greatest Common Factor of 242,236,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,236,892 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 242,236,892 . The biggest common factor number is the GCF number.
So the greatest common factor 242,236,892 is 2.


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 47/242, 25/236, 516/892

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 47/242, 25/236, 516/892?

Answer: LCM of Numerators as per given numbers 47/242, 25/236, 516/892 is

LCM of Numerators i.e. for 47,25,516 is 606300

GCF of denominators i.e. for 242,236,892 is 2.

Thus, LCM of Fractions is 303150.Finally, LCM of Fractions for 47/242, 25/236, 516/892 is 303150.