Least Common Multiple of 432/408, 706/617, 923/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/408, 706/617, 923/482 quickly i.e. 140753808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/408, 706/617, 923/482 is 140753808.

LCM(432/408, 706/617, 923/482) = 140753808

LCM of 432/408, 706/617, 923/482

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 432/408,706/617,923/482

Given numbers are 432/408,706/617,923/482

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 432,706,923

Least Common Multiple of Numerators i.e. LCM of 432,706,923 is 140753808.

GCF of Denominators means GCF of 408,617,482 as per the given fractions.

GCF of 408,617,482 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,706,923

LCM of Fractions 432/408,706/617,923/482 is 140753808

2 432, 706, 923
216, 353, 923

∴ So the LCM of the given numbers is 2 x 216 x 353 x 923 = 140753808

Least Common Multiple of 432,706,923 with GCF Formula

Least Common Multiple of 432,706,923 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 432,706,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,706,923) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(432,706,923) x common factors =1 x 2 = 2

LCM(432,706,923) = ( 432 × 706 × 923 ) / 2

LCM(432,706,923) = 281507616 / 2

LCM(432,706,923) = 140753808


Lets's calculate GCF of 408,617,482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140753808/1

Therefore the LCM of Fractions 432/408,706/617,923/482 is 140753808

Greatest Common Factor of 408,617,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,617,482 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 408,617,482 . The biggest common factor number is the GCF number.
So the greatest common factor 408,617,482 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 432/408, 706/617, 923/482

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 432/408, 706/617, 923/482?

Answer: LCM of Numerators as per given numbers 432/408, 706/617, 923/482 is

LCM of Numerators i.e. for 432,706,923 is 140753808

GCF of denominators i.e. for 408,617,482 is 1.

Thus, LCM of Fractions is 140753808.Finally, LCM of Fractions for 432/408, 706/617, 923/482 is 140753808.