Least Common Multiple of 32/325, 87/322, 894/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/325, 87/322, 894/588 quickly i.e. 414816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/325, 87/322, 894/588 is 414816.

LCM(32/325, 87/322, 894/588) = 414816

LCM of 32/325, 87/322, 894/588

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 32/325,87/322,894/588

Given numbers are 32/325,87/322,894/588

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 32,87,894

Least Common Multiple of Numerators i.e. LCM of 32,87,894 is 414816.

GCF of Denominators means GCF of 325,322,588 as per the given fractions.

GCF of 325,322,588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,87,894

LCM of Fractions 32/325,87/322,894/588 is 414816

2 32, 87, 894
3 16, 87, 447
16, 29, 149

∴ So the LCM of the given numbers is 2 x 3 x 16 x 29 x 149 = 414816

Least Common Multiple of 32,87,894 with GCF Formula

Least Common Multiple of 32,87,894 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 32,87,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,87,894) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(32,87,894) x common factors =1 x 6 = 6

LCM(32,87,894) = ( 32 × 87 × 894 ) / 6

LCM(32,87,894) = 2488896 / 6

LCM(32,87,894) = 414816


Lets's calculate GCF of 325,322,588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414816/1

Therefore the LCM of Fractions 32/325,87/322,894/588 is 414816

Greatest Common Factor of 325,322,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,322,588 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 322

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

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

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 325,322,588 . The biggest common factor number is the GCF number.
So the greatest common factor 325,322,588 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/325, 87/322, 894/588

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 32/325, 87/322, 894/588?

Answer: LCM of Numerators as per given numbers 32/325, 87/322, 894/588 is

LCM of Numerators i.e. for 32,87,894 is 414816

GCF of denominators i.e. for 325,322,588 is 1.

Thus, LCM of Fractions is 414816.Finally, LCM of Fractions for 32/325, 87/322, 894/588 is 414816.