Least Common Multiple of 432/403, 424/128, 785/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/403, 424/128, 785/280 quickly i.e. 17973360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/403, 424/128, 785/280 is 17973360.

LCM(432/403, 424/128, 785/280) = 17973360

LCM of 432/403, 424/128, 785/280

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 432/403,424/128,785/280

Given numbers are 432/403,424/128,785/280

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 432,424,785

Least Common Multiple of Numerators i.e. LCM of 432,424,785 is 17973360.

GCF of Denominators means GCF of 403,128,280 as per the given fractions.

GCF of 403,128,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,424,785

LCM of Fractions 432/403,424/128,785/280 is 17973360

2 432, 424, 785
2 216, 212, 785
2 108, 106, 785
54, 53, 785

∴ So the LCM of the given numbers is 2 x 2 x 2 x 54 x 53 x 785 = 17973360

Least Common Multiple of 432,424,785 with GCF Formula

Least Common Multiple of 432,424,785 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 432,424,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,424,785) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(432,424,785) x common factors =1 x 8 = 8

LCM(432,424,785) = ( 432 × 424 × 785 ) / 8

LCM(432,424,785) = 143786880 / 8

LCM(432,424,785) = 17973360


Lets's calculate GCF of 403,128,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17973360/1

Therefore the LCM of Fractions 432/403,424/128,785/280 is 17973360

Greatest Common Factor of 403,128,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,128,280 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 403,128,280 . The biggest common factor number is the GCF number.
So the greatest common factor 403,128,280 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 432/403, 424/128, 785/280

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 432/403, 424/128, 785/280?

Answer: LCM of Numerators as per given numbers 432/403, 424/128, 785/280 is

LCM of Numerators i.e. for 432,424,785 is 17973360

GCF of denominators i.e. for 403,128,280 is 1.

Thus, LCM of Fractions is 17973360.Finally, LCM of Fractions for 432/403, 424/128, 785/280 is 17973360.