Least Common Multiple of 321/414, 873/562, 332/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/414, 873/562, 332/765 quickly i.e. 31012452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/414, 873/562, 332/765 is 31012452.

LCM(321/414, 873/562, 332/765) = 31012452

LCM of 321/414, 873/562, 332/765

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 321/414,873/562,332/765

Given numbers are 321/414,873/562,332/765

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 321,873,332

Least Common Multiple of Numerators i.e. LCM of 321,873,332 is 31012452.

GCF of Denominators means GCF of 414,562,765 as per the given fractions.

GCF of 414,562,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,873,332

LCM of Fractions 321/414,873/562,332/765 is 31012452

3 321, 873, 332
107, 291, 332

∴ So the LCM of the given numbers is 3 x 107 x 291 x 332 = 31012452

Least Common Multiple of 321,873,332 with GCF Formula

Least Common Multiple of 321,873,332 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 321,873,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,873,332) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(321,873,332) x common factors =1 x 3 = 3

LCM(321,873,332) = ( 321 × 873 × 332 ) / 3

LCM(321,873,332) = 93037356 / 3

LCM(321,873,332) = 31012452


Lets's calculate GCF of 414,562,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31012452/1

Therefore the LCM of Fractions 321/414,873/562,332/765 is 31012452

Greatest Common Factor of 414,562,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,562,765 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 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 414,562,765 . The biggest common factor number is the GCF number.
So the greatest common factor 414,562,765 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 321/414, 873/562, 332/765

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 321/414, 873/562, 332/765?

Answer: LCM of Numerators as per given numbers 321/414, 873/562, 332/765 is

LCM of Numerators i.e. for 321,873,332 is 31012452

GCF of denominators i.e. for 414,562,765 is 1.

Thus, LCM of Fractions is 31012452.Finally, LCM of Fractions for 321/414, 873/562, 332/765 is 31012452.