Least Common Multiple of 87/409, 72/433, 679/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/409, 72/433, 679/352 quickly i.e. 1417752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/409, 72/433, 679/352 is 1417752.

LCM(87/409, 72/433, 679/352) = 1417752

LCM of 87/409, 72/433, 679/352

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 87/409,72/433,679/352

Given numbers are 87/409,72/433,679/352

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 87,72,679

Least Common Multiple of Numerators i.e. LCM of 87,72,679 is 1417752.

GCF of Denominators means GCF of 409,433,352 as per the given fractions.

GCF of 409,433,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,72,679

LCM of Fractions 87/409,72/433,679/352 is 1417752

3 87, 72, 679
29, 24, 679

∴ So the LCM of the given numbers is 3 x 29 x 24 x 679 = 1417752

Least Common Multiple of 87,72,679 with GCF Formula

Least Common Multiple of 87,72,679 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 87,72,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,72,679) = 1

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

GCF(87,72,679) x common factors =1 x 3 = 3

LCM(87,72,679) = ( 87 × 72 × 679 ) / 3

LCM(87,72,679) = 4253256 / 3

LCM(87,72,679) = 1417752


Lets's calculate GCF of 409,433,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1417752/1

Therefore the LCM of Fractions 87/409,72/433,679/352 is 1417752

Greatest Common Factor of 409,433,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,433,352 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 409,433,352 . The biggest common factor number is the GCF number.
So the greatest common factor 409,433,352 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 87/409, 72/433, 679/352

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 87/409, 72/433, 679/352?

Answer: LCM of Numerators as per given numbers 87/409, 72/433, 679/352 is

LCM of Numerators i.e. for 87,72,679 is 1417752

GCF of denominators i.e. for 409,433,352 is 1.

Thus, LCM of Fractions is 1417752.Finally, LCM of Fractions for 87/409, 72/433, 679/352 is 1417752.