Least Common Multiple of 414/13, 867/20, 896/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/13, 867/20, 896/577 quickly i.e. 53601408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/13, 867/20, 896/577 is 53601408.

LCM(414/13, 867/20, 896/577) = 53601408

LCM of 414/13, 867/20, 896/577

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 414/13,867/20,896/577

Given numbers are 414/13,867/20,896/577

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 414,867,896

Least Common Multiple of Numerators i.e. LCM of 414,867,896 is 53601408.

GCF of Denominators means GCF of 13,20,577 as per the given fractions.

GCF of 13,20,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,867,896

LCM of Fractions 414/13,867/20,896/577 is 53601408

2 414, 867, 896
3 207, 867, 448
69, 289, 448

∴ So the LCM of the given numbers is 2 x 3 x 69 x 289 x 448 = 53601408

Least Common Multiple of 414,867,896 with GCF Formula

Least Common Multiple of 414,867,896 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 414,867,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,867,896) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(414,867,896) x common factors =1 x 6 = 6

LCM(414,867,896) = ( 414 × 867 × 896 ) / 6

LCM(414,867,896) = 321608448 / 6

LCM(414,867,896) = 53601408


Lets's calculate GCF of 13,20,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53601408/1

Therefore the LCM of Fractions 414/13,867/20,896/577 is 53601408

Greatest Common Factor of 13,20,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,20,577 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 13,20,577 . The biggest common factor number is the GCF number.
So the greatest common factor 13,20,577 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 414/13, 867/20, 896/577

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 414/13, 867/20, 896/577?

Answer: LCM of Numerators as per given numbers 414/13, 867/20, 896/577 is

LCM of Numerators i.e. for 414,867,896 is 53601408

GCF of denominators i.e. for 13,20,577 is 1.

Thus, LCM of Fractions is 53601408.Finally, LCM of Fractions for 414/13, 867/20, 896/577 is 53601408.