Least Common Multiple of 55/414, 40/513, 900/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/414, 40/513, 900/704 quickly i.e. 19800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/414, 40/513, 900/704 is 19800.

LCM(55/414, 40/513, 900/704) = 19800

LCM of 55/414, 40/513, 900/704

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 55/414,40/513,900/704

Given numbers are 55/414,40/513,900/704

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 55,40,900

Least Common Multiple of Numerators i.e. LCM of 55,40,900 is 19800.

GCF of Denominators means GCF of 414,513,704 as per the given fractions.

GCF of 414,513,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,40,900

LCM of Fractions 55/414,40/513,900/704 is 19800

2 55, 40, 900
2 55, 20, 450
5 55, 10, 225
11, 2, 45

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 2 x 45 = 19800

Least Common Multiple of 55,40,900 with GCF Formula

Least Common Multiple of 55,40,900 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 55,40,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,40,900) = 5

common factors(in case of two or more numbers have common factors) = 20

GCF(55,40,900) x common factors =5 x 20 = 100

LCM(55,40,900) = ( 55 × 40 × 900 ) / 100

LCM(55,40,900) = 1980000 / 100

LCM(55,40,900) = 19800


Lets's calculate GCF of 414,513,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19800/1

Therefore the LCM of Fractions 55/414,40/513,900/704 is 19800

Greatest Common Factor of 414,513,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,513,704 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 414,513,704 . The biggest common factor number is the GCF number.
So the greatest common factor 414,513,704 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 55/414, 40/513, 900/704

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 55/414, 40/513, 900/704?

Answer: LCM of Numerators as per given numbers 55/414, 40/513, 900/704 is

LCM of Numerators i.e. for 55,40,900 is 19800

GCF of denominators i.e. for 414,513,704 is 1.

Thus, LCM of Fractions is 19800.Finally, LCM of Fractions for 55/414, 40/513, 900/704 is 19800.