Least Common Multiple of 16/274, 87/620, 413/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/274, 87/620, 413/688 quickly i.e. 287448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/274, 87/620, 413/688 is 287448.

LCM(16/274, 87/620, 413/688) = 287448

LCM of 16/274, 87/620, 413/688

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 16/274,87/620,413/688

Given numbers are 16/274,87/620,413/688

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 16,87,413

Least Common Multiple of Numerators i.e. LCM of 16,87,413 is 574896.

GCF of Denominators means GCF of 274,620,688 as per the given fractions.

GCF of 274,620,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,87,413

LCM of Fractions 16/274,87/620,413/688 is 287448

Given numbers has no common factors except 1. So, there LCM is their product i.e 574896

Least Common Multiple of 16,87,413 with GCF Formula

Least Common Multiple of 16,87,413 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 16,87,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,87,413) = 1

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

GCF(16,87,413) x common factors =1 x 1 = 1

LCM(16,87,413) = ( 16 × 87 × 413 ) / 1

LCM(16,87,413) = 574896 / 1

LCM(16,87,413) = 574896


Lets's calculate GCF of 274,620,688

2 274, 620, 688
137, 310, 344

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 574896/2

Therefore the LCM of Fractions 16/274,87/620,413/688 is 287448

Greatest Common Factor of 274,620,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,620,688 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 274,620,688 . The biggest common factor number is the GCF number.
So the greatest common factor 274,620,688 is 2.


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 16/274, 87/620, 413/688

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 16/274, 87/620, 413/688?

Answer: LCM of Numerators as per given numbers 16/274, 87/620, 413/688 is

LCM of Numerators i.e. for 16,87,413 is 574896

GCF of denominators i.e. for 274,620,688 is 2.

Thus, LCM of Fractions is 287448.Finally, LCM of Fractions for 16/274, 87/620, 413/688 is 287448.