Least Common Multiple of 42/747, 4788/3459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/747, 4788/3459 quickly i.e. 1596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/747, 4788/3459 is 1596.

LCM(42/747, 4788/3459) = 1596

LCM of 42/747, 4788/3459

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 42/747,4788/3459

Given numbers are 42/747,4788/3459

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 42,4788

Least Common Multiple of Numerators i.e. LCM of 42,4788 is 4788.

GCF of Denominators means GCF of 747,3459 as per the given fractions.

GCF of 747,3459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,4788

LCM of Fractions 42/747,4788/3459 is 1596

2 42, 4788
3 21, 2394
7 7, 798
1, 114

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 114 = 4788

Least Common Multiple of 42,4788 with GCF Formula

Least Common Multiple of 42,4788 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 42,4788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,4788) = 42

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

GCF(42,4788) x common factors =42 x 1 = 42

LCM(42,4788) = ( 42 × 4788 ) / 42

LCM(42,4788) = 201096 / 42

LCM(42,4788) = 4788


Lets's calculate GCF of 747,3459

3 747, 3459
249, 1153

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4788/3

Therefore the LCM of Fractions 42/747,4788/3459 is 1596

Greatest Common Factor of 747,3459 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,3459 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 3459

List of positive integer factors of 3459 that divides 3459 without a remainder.

1,3,1153,3459

Greatest Common Factor

We found the factors 747,3459 . The biggest common factor number is the GCF number.
So the greatest common factor 747,3459 is 3.


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 42/747, 4788/3459

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 42/747, 4788/3459?

Answer: LCM of Numerators as per given numbers 42/747, 4788/3459 is

LCM of Numerators i.e. for 42,4788 is 4788

GCF of denominators i.e. for 747,3459 is 3.

Thus, LCM of Fractions is 1596.Finally, LCM of Fractions for 42/747, 4788/3459 is 1596.