Least Common Multiple of 87/328, 77/562, 163/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/328, 77/562, 163/399 quickly i.e. 1091937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/328, 77/562, 163/399 is 1091937.

LCM(87/328, 77/562, 163/399) = 1091937

LCM of 87/328, 77/562, 163/399

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 87/328,77/562,163/399

Given numbers are 87/328,77/562,163/399

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 87,77,163

Least Common Multiple of Numerators i.e. LCM of 87,77,163 is 1091937.

GCF of Denominators means GCF of 328,562,399 as per the given fractions.

GCF of 328,562,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,77,163

LCM of Fractions 87/328,77/562,163/399 is 1091937

Given numbers has no common factors except 1. So, there LCM is their product i.e 1091937

Least Common Multiple of 87,77,163 with GCF Formula

Least Common Multiple of 87,77,163 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 87,77,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,77,163) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,77,163) x common factors =1 x 1 = 1

LCM(87,77,163) = ( 87 × 77 × 163 ) / 1

LCM(87,77,163) = 1091937 / 1

LCM(87,77,163) = 1091937


Lets's calculate GCF of 328,562,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1091937/1

Therefore the LCM of Fractions 87/328,77/562,163/399 is 1091937

Greatest Common Factor of 328,562,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,562,399 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 562

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

1,2,281,562

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 328,562,399 . The biggest common factor number is the GCF number.
So the greatest common factor 328,562,399 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 87/328, 77/562, 163/399

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 87/328, 77/562, 163/399?

Answer: LCM of Numerators as per given numbers 87/328, 77/562, 163/399 is

LCM of Numerators i.e. for 87,77,163 is 1091937

GCF of denominators i.e. for 328,562,399 is 1.

Thus, LCM of Fractions is 1091937.Finally, LCM of Fractions for 87/328, 77/562, 163/399 is 1091937.