Least Common Multiple of 73/74, 71/47, 48/41, 10/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/74, 71/47, 48/41, 10/410 quickly i.e. 1243920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/74, 71/47, 48/41, 10/410 is 1243920.

LCM(73/74, 71/47, 48/41, 10/410) = 1243920

LCM of 73/74, 71/47, 48/41, 10/410

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 73/74,71/47,48/41,10/410

Given numbers are 73/74,71/47,48/41,10/410

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 73,71,48,10

Least Common Multiple of Numerators i.e. LCM of 73,71,48,10 is 1243920.

GCF of Denominators means GCF of 74,47,41,410 as per the given fractions.

GCF of 74,47,41,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,71,48,10

LCM of Fractions 73/74,71/47,48/41,10/410 is 1243920

2 73, 71, 48, 10
73, 71, 24, 5

∴ So the LCM of the given numbers is 2 x 73 x 71 x 24 x 5 = 1243920

Least Common Multiple of 73,71,48,10 with GCF Formula

Least Common Multiple of 73,71,48,10 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 73,71,48,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,71,48,10) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,71,48,10) x common factors =1 x 2 = 2

LCM(73,71,48,10) = ( 73 × 71 × 48 × 10 ) / 2

LCM(73,71,48,10) = 2487840 / 2

LCM(73,71,48,10) = 1243920


Lets's calculate GCF of 74,47,41,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1243920/1

Therefore the LCM of Fractions 73/74,71/47,48/41,10/410 is 1243920

Greatest Common Factor of 74,47,41,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,47,41,410 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 74,47,41,410 . The biggest common factor number is the GCF number.
So the greatest common factor 74,47,41,410 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/74, 71/47, 48/41, 10/410

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 73/74, 71/47, 48/41, 10/410?

Answer: LCM of Numerators as per given numbers 73/74, 71/47, 48/41, 10/410 is

LCM of Numerators i.e. for 73,71,48,10 is 1243920

GCF of denominators i.e. for 74,47,41,410 is 1.

Thus, LCM of Fractions is 1243920.Finally, LCM of Fractions for 73/74, 71/47, 48/41, 10/410 is 1243920.