Least Common Multiple of 32/414, 40/424, 708/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/414, 40/424, 708/357 quickly i.e. 28320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/414, 40/424, 708/357 is 28320.

LCM(32/414, 40/424, 708/357) = 28320

LCM of 32/414, 40/424, 708/357

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 32/414,40/424,708/357

Given numbers are 32/414,40/424,708/357

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 32,40,708

Least Common Multiple of Numerators i.e. LCM of 32,40,708 is 28320.

GCF of Denominators means GCF of 414,424,357 as per the given fractions.

GCF of 414,424,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,40,708

LCM of Fractions 32/414,40/424,708/357 is 28320

2 32, 40, 708
2 16, 20, 354
2 8, 10, 177
4, 5, 177

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 5 x 177 = 28320

Least Common Multiple of 32,40,708 with GCF Formula

Least Common Multiple of 32,40,708 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 32,40,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,40,708) = 4

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

GCF(32,40,708) x common factors =4 x 8 = 32

LCM(32,40,708) = ( 32 × 40 × 708 ) / 32

LCM(32,40,708) = 906240 / 32

LCM(32,40,708) = 28320


Lets's calculate GCF of 414,424,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28320/1

Therefore the LCM of Fractions 32/414,40/424,708/357 is 28320

Greatest Common Factor of 414,424,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,424,357 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 414,424,357 . The biggest common factor number is the GCF number.
So the greatest common factor 414,424,357 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 32/414, 40/424, 708/357

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 32/414, 40/424, 708/357?

Answer: LCM of Numerators as per given numbers 32/414, 40/424, 708/357 is

LCM of Numerators i.e. for 32,40,708 is 28320

GCF of denominators i.e. for 414,424,357 is 1.

Thus, LCM of Fractions is 28320.Finally, LCM of Fractions for 32/414, 40/424, 708/357 is 28320.