Least Common Multiple of 43/432, 649/454, 861/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/432, 649/454, 861/298 quickly i.e. 24027927/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/432, 649/454, 861/298 is 24027927/2.

LCM(43/432, 649/454, 861/298) = 24027927/2

LCM of 43/432, 649/454, 861/298

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 43/432,649/454,861/298

Given numbers are 43/432,649/454,861/298

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 43,649,861

Least Common Multiple of Numerators i.e. LCM of 43,649,861 is 24027927.

GCF of Denominators means GCF of 432,454,298 as per the given fractions.

GCF of 432,454,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,649,861

LCM of Fractions 43/432,649/454,861/298 is 24027927/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 24027927

Least Common Multiple of 43,649,861 with GCF Formula

Least Common Multiple of 43,649,861 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 43,649,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,649,861) = 1

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

GCF(43,649,861) x common factors =1 x 1 = 1

LCM(43,649,861) = ( 43 × 649 × 861 ) / 1

LCM(43,649,861) = 24027927 / 1

LCM(43,649,861) = 24027927


Lets's calculate GCF of 432,454,298

2 432, 454, 298
216, 227, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24027927/2

Therefore the LCM of Fractions 43/432,649/454,861/298 is 24027927/2

Greatest Common Factor of 432,454,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,454,298 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 432,454,298 . The biggest common factor number is the GCF number.
So the greatest common factor 432,454,298 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 43/432, 649/454, 861/298

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 43/432, 649/454, 861/298?

Answer: LCM of Numerators as per given numbers 43/432, 649/454, 861/298 is

LCM of Numerators i.e. for 43,649,861 is 24027927

GCF of denominators i.e. for 432,454,298 is 2.

Thus, LCM of Fractions is 24027927/2.Finally, LCM of Fractions for 43/432, 649/454, 861/298 is 24027927/2.