Least Common Multiple of 42/436, 735/554, 432/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/436, 735/554, 432/322 quickly i.e. 52920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/436, 735/554, 432/322 is 52920.

LCM(42/436, 735/554, 432/322) = 52920

LCM of 42/436, 735/554, 432/322

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 42/436,735/554,432/322

Given numbers are 42/436,735/554,432/322

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 42,735,432

Least Common Multiple of Numerators i.e. LCM of 42,735,432 is 105840.

GCF of Denominators means GCF of 436,554,322 as per the given fractions.

GCF of 436,554,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,735,432

LCM of Fractions 42/436,735/554,432/322 is 52920

2 42, 735, 432
3 21, 735, 216
7 7, 245, 72
1, 35, 72

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 35 x 72 = 105840

Least Common Multiple of 42,735,432 with GCF Formula

Least Common Multiple of 42,735,432 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 42,735,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,735,432) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(42,735,432) x common factors =3 x 42 = 126

LCM(42,735,432) = ( 42 × 735 × 432 ) / 126

LCM(42,735,432) = 13335840 / 126

LCM(42,735,432) = 105840


Lets's calculate GCF of 436,554,322

2 436, 554, 322
218, 277, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105840/2

Therefore the LCM of Fractions 42/436,735/554,432/322 is 52920

Greatest Common Factor of 436,554,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,554,322 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 436,554,322 . The biggest common factor number is the GCF number.
So the greatest common factor 436,554,322 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 42/436, 735/554, 432/322

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 42/436, 735/554, 432/322?

Answer: LCM of Numerators as per given numbers 42/436, 735/554, 432/322 is

LCM of Numerators i.e. for 42,735,432 is 105840

GCF of denominators i.e. for 436,554,322 is 2.

Thus, LCM of Fractions is 52920.Finally, LCM of Fractions for 42/436, 735/554, 432/322 is 52920.