Least Common Multiple of 16/364, 87/795, 696/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/364, 87/795, 696/178 quickly i.e. 1392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/364, 87/795, 696/178 is 1392.

LCM(16/364, 87/795, 696/178) = 1392

LCM of 16/364, 87/795, 696/178

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 16/364,87/795,696/178

Given numbers are 16/364,87/795,696/178

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 16,87,696

Least Common Multiple of Numerators i.e. LCM of 16,87,696 is 1392.

GCF of Denominators means GCF of 364,795,178 as per the given fractions.

GCF of 364,795,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,87,696

LCM of Fractions 16/364,87/795,696/178 is 1392

2 16, 87, 696
2 8, 87, 348
2 4, 87, 174
3 2, 87, 87
29 2, 29, 29
2, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 2 x 1 x 1 = 1392

Least Common Multiple of 16,87,696 with GCF Formula

Least Common Multiple of 16,87,696 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 16,87,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,87,696) = 1

common factors(in case of two or more numbers have common factors) = 696

GCF(16,87,696) x common factors =1 x 696 = 696

LCM(16,87,696) = ( 16 × 87 × 696 ) / 696

LCM(16,87,696) = 968832 / 696

LCM(16,87,696) = 1392


Lets's calculate GCF of 364,795,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1392/1

Therefore the LCM of Fractions 16/364,87/795,696/178 is 1392

Greatest Common Factor of 364,795,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,795,178 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 364,795,178 . The biggest common factor number is the GCF number.
So the greatest common factor 364,795,178 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 16/364, 87/795, 696/178

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 16/364, 87/795, 696/178?

Answer: LCM of Numerators as per given numbers 16/364, 87/795, 696/178 is

LCM of Numerators i.e. for 16,87,696 is 1392

GCF of denominators i.e. for 364,795,178 is 1.

Thus, LCM of Fractions is 1392.Finally, LCM of Fractions for 16/364, 87/795, 696/178 is 1392.