Least Common Multiple of 543/465, 576/184, 988/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/465, 576/184, 988/784 quickly i.e. 25751232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/465, 576/184, 988/784 is 25751232.

LCM(543/465, 576/184, 988/784) = 25751232

LCM of 543/465, 576/184, 988/784

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 543/465,576/184,988/784

Given numbers are 543/465,576/184,988/784

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 543,576,988

Least Common Multiple of Numerators i.e. LCM of 543,576,988 is 25751232.

GCF of Denominators means GCF of 465,184,784 as per the given fractions.

GCF of 465,184,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,576,988

LCM of Fractions 543/465,576/184,988/784 is 25751232

2 543, 576, 988
2 543, 288, 494
3 543, 144, 247
181, 48, 247

∴ So the LCM of the given numbers is 2 x 2 x 3 x 181 x 48 x 247 = 25751232

Least Common Multiple of 543,576,988 with GCF Formula

Least Common Multiple of 543,576,988 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 543,576,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,576,988) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(543,576,988) x common factors =1 x 12 = 12

LCM(543,576,988) = ( 543 × 576 × 988 ) / 12

LCM(543,576,988) = 309014784 / 12

LCM(543,576,988) = 25751232


Lets's calculate GCF of 465,184,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25751232/1

Therefore the LCM of Fractions 543/465,576/184,988/784 is 25751232

Greatest Common Factor of 465,184,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,184,784 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 465,184,784 . The biggest common factor number is the GCF number.
So the greatest common factor 465,184,784 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 543/465, 576/184, 988/784

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 543/465, 576/184, 988/784?

Answer: LCM of Numerators as per given numbers 543/465, 576/184, 988/784 is

LCM of Numerators i.e. for 543,576,988 is 25751232

GCF of denominators i.e. for 465,184,784 is 1.

Thus, LCM of Fractions is 25751232.Finally, LCM of Fractions for 543/465, 576/184, 988/784 is 25751232.