Least Common Multiple of 14/87, 31/42, 817/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/87, 31/42, 817/280 quickly i.e. 354578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/87, 31/42, 817/280 is 354578.

LCM(14/87, 31/42, 817/280) = 354578

LCM of 14/87, 31/42, 817/280

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 14/87,31/42,817/280

Given numbers are 14/87,31/42,817/280

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 14,31,817

Least Common Multiple of Numerators i.e. LCM of 14,31,817 is 354578.

GCF of Denominators means GCF of 87,42,280 as per the given fractions.

GCF of 87,42,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,31,817

LCM of Fractions 14/87,31/42,817/280 is 354578

Given numbers has no common factors except 1. So, there LCM is their product i.e 354578

Least Common Multiple of 14,31,817 with GCF Formula

Least Common Multiple of 14,31,817 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 14,31,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,31,817) = 1

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

GCF(14,31,817) x common factors =1 x 1 = 1

LCM(14,31,817) = ( 14 × 31 × 817 ) / 1

LCM(14,31,817) = 354578 / 1

LCM(14,31,817) = 354578


Lets's calculate GCF of 87,42,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354578/1

Therefore the LCM of Fractions 14/87,31/42,817/280 is 354578

Greatest Common Factor of 87,42,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,42,280 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 87,42,280 . The biggest common factor number is the GCF number.
So the greatest common factor 87,42,280 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 14/87, 31/42, 817/280

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 14/87, 31/42, 817/280?

Answer: LCM of Numerators as per given numbers 14/87, 31/42, 817/280 is

LCM of Numerators i.e. for 14,31,817 is 354578

GCF of denominators i.e. for 87,42,280 is 1.

Thus, LCM of Fractions is 354578.Finally, LCM of Fractions for 14/87, 31/42, 817/280 is 354578.