Least Common Multiple of 176/14, 391/3864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 176/14, 391/3864 quickly i.e. 68816/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 176/14, 391/3864 is 68816/14.

LCM(176/14, 391/3864) = 68816/14

LCM of 176/14, 391/3864

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 176/14,391/3864

Given numbers are 176/14,391/3864

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 176,391

Least Common Multiple of Numerators i.e. LCM of 176,391 is 68816.

GCF of Denominators means GCF of 14,3864 as per the given fractions.

GCF of 14,3864 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 176,391

LCM of Fractions 176/14,391/3864 is 68816/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 68816

Least Common Multiple of 176,391 with GCF Formula

Least Common Multiple of 176,391 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 176,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,391) = 1

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

GCF(176,391) x common factors =1 x 1 = 1

LCM(176,391) = ( 176 × 391 ) / 1

LCM(176,391) = 68816 / 1

LCM(176,391) = 68816


Lets's calculate GCF of 14,3864

2 14, 3864
7 7, 1932
1, 276

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68816/14

Therefore the LCM of Fractions 176/14,391/3864 is 68816/14

Greatest Common Factor of 14,3864 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3864 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 3864

List of positive integer factors of 3864 that divides 3864 without a remainder.

1,2,3,4,6,7,8,12,14,21,23,24,28,42,46,56,69,84,92,138,161,168,184,276,322,483,552,644,966,1288,1932,3864

Greatest Common Factor

We found the factors 14,3864 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3864 is 14.


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 176/14, 391/3864

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 176/14, 391/3864?

Answer: LCM of Numerators as per given numbers 176/14, 391/3864 is

LCM of Numerators i.e. for 176,391 is 68816

GCF of denominators i.e. for 14,3864 is 14.

Thus, LCM of Fractions is 68816/14.Finally, LCM of Fractions for 176/14, 391/3864 is 68816/14.