Least Common Multiple of 712/48, 281/42, 409/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/48, 281/42, 409/848 quickly i.e. 40914724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/48, 281/42, 409/848 is 40914724.

LCM(712/48, 281/42, 409/848) = 40914724

LCM of 712/48, 281/42, 409/848

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 712/48,281/42,409/848

Given numbers are 712/48,281/42,409/848

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 712,281,409

Least Common Multiple of Numerators i.e. LCM of 712,281,409 is 81829448.

GCF of Denominators means GCF of 48,42,848 as per the given fractions.

GCF of 48,42,848 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,281,409

LCM of Fractions 712/48,281/42,409/848 is 40914724

Given numbers has no common factors except 1. So, there LCM is their product i.e 81829448

Least Common Multiple of 712,281,409 with GCF Formula

Least Common Multiple of 712,281,409 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 712,281,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,281,409) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(712,281,409) x common factors =1 x 1 = 1

LCM(712,281,409) = ( 712 × 281 × 409 ) / 1

LCM(712,281,409) = 81829448 / 1

LCM(712,281,409) = 81829448


Lets's calculate GCF of 48,42,848

2 48, 42, 848
24, 21, 424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81829448/2

Therefore the LCM of Fractions 712/48,281/42,409/848 is 40914724

Greatest Common Factor of 48,42,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,42,848 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 48,42,848 . The biggest common factor number is the GCF number.
So the greatest common factor 48,42,848 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 712/48, 281/42, 409/848

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 712/48, 281/42, 409/848?

Answer: LCM of Numerators as per given numbers 712/48, 281/42, 409/848 is

LCM of Numerators i.e. for 712,281,409 is 81829448

GCF of denominators i.e. for 48,42,848 is 2.

Thus, LCM of Fractions is 40914724.Finally, LCM of Fractions for 712/48, 281/42, 409/848 is 40914724.