Least Common Multiple of 73/704, 92/542, 508/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/704, 92/542, 508/808 quickly i.e. 426466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/704, 92/542, 508/808 is 426466.

LCM(73/704, 92/542, 508/808) = 426466

LCM of 73/704, 92/542, 508/808

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 73/704,92/542,508/808

Given numbers are 73/704,92/542,508/808

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 73,92,508

Least Common Multiple of Numerators i.e. LCM of 73,92,508 is 852932.

GCF of Denominators means GCF of 704,542,808 as per the given fractions.

GCF of 704,542,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,92,508

LCM of Fractions 73/704,92/542,508/808 is 426466

2 73, 92, 508
2 73, 46, 254
73, 23, 127

∴ So the LCM of the given numbers is 2 x 2 x 73 x 23 x 127 = 852932

Least Common Multiple of 73,92,508 with GCF Formula

Least Common Multiple of 73,92,508 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 73,92,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,92,508) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(73,92,508) x common factors =1 x 4 = 4

LCM(73,92,508) = ( 73 × 92 × 508 ) / 4

LCM(73,92,508) = 3411728 / 4

LCM(73,92,508) = 852932


Lets's calculate GCF of 704,542,808

2 704, 542, 808
352, 271, 404

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 852932/2

Therefore the LCM of Fractions 73/704,92/542,508/808 is 426466

Greatest Common Factor of 704,542,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,542,808 By Matching Biggest Common Factor Method

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

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 704,542,808 . The biggest common factor number is the GCF number.
So the greatest common factor 704,542,808 is 2.


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 73/704, 92/542, 508/808

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 73/704, 92/542, 508/808?

Answer: LCM of Numerators as per given numbers 73/704, 92/542, 508/808 is

LCM of Numerators i.e. for 73,92,508 is 852932

GCF of denominators i.e. for 704,542,808 is 2.

Thus, LCM of Fractions is 426466.Finally, LCM of Fractions for 73/704, 92/542, 508/808 is 426466.