Least Common Multiple of 896/14, 833/46, 816/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 896/14, 833/46, 816/407 quickly i.e. 319872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/14, 833/46, 816/407 is 319872.

LCM(896/14, 833/46, 816/407) = 319872

LCM of 896/14, 833/46, 816/407

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 896/14,833/46,816/407

Given numbers are 896/14,833/46,816/407

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 896,833,816

Least Common Multiple of Numerators i.e. LCM of 896,833,816 is 319872.

GCF of Denominators means GCF of 14,46,407 as per the given fractions.

GCF of 14,46,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,833,816

LCM of Fractions 896/14,833/46,816/407 is 319872

2 896, 833, 816
2 448, 833, 408
2 224, 833, 204
2 112, 833, 102
7 56, 833, 51
17 8, 119, 51
8, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 17 x 8 x 7 x 3 = 319872

Least Common Multiple of 896,833,816 with GCF Formula

Least Common Multiple of 896,833,816 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 896,833,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,833,816) = 1

common factors(in case of two or more numbers have common factors) = 1904

GCF(896,833,816) x common factors =1 x 1904 = 1904

LCM(896,833,816) = ( 896 × 833 × 816 ) / 1904

LCM(896,833,816) = 609036288 / 1904

LCM(896,833,816) = 319872


Lets's calculate GCF of 14,46,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319872/1

Therefore the LCM of Fractions 896/14,833/46,816/407 is 319872

Greatest Common Factor of 14,46,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,46,407 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 14,46,407 . The biggest common factor number is the GCF number.
So the greatest common factor 14,46,407 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 896/14, 833/46, 816/407

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 896/14, 833/46, 816/407?

Answer: LCM of Numerators as per given numbers 896/14, 833/46, 816/407 is

LCM of Numerators i.e. for 896,833,816 is 319872

GCF of denominators i.e. for 14,46,407 is 1.

Thus, LCM of Fractions is 319872.Finally, LCM of Fractions for 896/14, 833/46, 816/407 is 319872.