Least Common Multiple of 846/42, 105/31, 768/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 846/42, 105/31, 768/483 quickly i.e. 3790080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 846/42, 105/31, 768/483 is 3790080.

LCM(846/42, 105/31, 768/483) = 3790080

LCM of 846/42, 105/31, 768/483

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 846/42,105/31,768/483

Given numbers are 846/42,105/31,768/483

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 846,105,768

Least Common Multiple of Numerators i.e. LCM of 846,105,768 is 3790080.

GCF of Denominators means GCF of 42,31,483 as per the given fractions.

GCF of 42,31,483 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 846,105,768

LCM of Fractions 846/42,105/31,768/483 is 3790080

2 846, 105, 768
3 423, 105, 384
141, 35, 128

∴ So the LCM of the given numbers is 2 x 3 x 141 x 35 x 128 = 3790080

Least Common Multiple of 846,105,768 with GCF Formula

Least Common Multiple of 846,105,768 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 846,105,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,105,768) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(846,105,768) x common factors =3 x 6 = 18

LCM(846,105,768) = ( 846 × 105 × 768 ) / 18

LCM(846,105,768) = 68221440 / 18

LCM(846,105,768) = 3790080


Lets's calculate GCF of 42,31,483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3790080/1

Therefore the LCM of Fractions 846/42,105/31,768/483 is 3790080

Greatest Common Factor of 42,31,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,31,483 By Matching Biggest Common Factor Method

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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 42,31,483 . The biggest common factor number is the GCF number.
So the greatest common factor 42,31,483 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 846/42, 105/31, 768/483

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 846/42, 105/31, 768/483?

Answer: LCM of Numerators as per given numbers 846/42, 105/31, 768/483 is

LCM of Numerators i.e. for 846,105,768 is 3790080

GCF of denominators i.e. for 42,31,483 is 1.

Thus, LCM of Fractions is 3790080.Finally, LCM of Fractions for 846/42, 105/31, 768/483 is 3790080.