Least Common Multiple of 3462/38, 4991/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3462/38, 4991/673 quickly i.e. 17278842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3462/38, 4991/673 is 17278842.

LCM(3462/38, 4991/673) = 17278842

LCM of 3462/38, 4991/673

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 3462/38,4991/673

Given numbers are 3462/38,4991/673

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 3462,4991

Least Common Multiple of Numerators i.e. LCM of 3462,4991 is 17278842.

GCF of Denominators means GCF of 38,673 as per the given fractions.

GCF of 38,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3462,4991

LCM of Fractions 3462/38,4991/673 is 17278842

Given numbers has no common factors except 1. So, there LCM is their product i.e 17278842

Least Common Multiple of 3462,4991 with GCF Formula

Least Common Multiple of 3462,4991 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 3462,4991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3462,4991) = 1

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

GCF(3462,4991) x common factors =1 x 1 = 1

LCM(3462,4991) = ( 3462 × 4991 ) / 1

LCM(3462,4991) = 17278842 / 1

LCM(3462,4991) = 17278842


Lets's calculate GCF of 38,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17278842/1

Therefore the LCM of Fractions 3462/38,4991/673 is 17278842

Greatest Common Factor of 38,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,673 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 38,673 . The biggest common factor number is the GCF number.
So the greatest common factor 38,673 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 3462/38, 4991/673

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 3462/38, 4991/673?

Answer: LCM of Numerators as per given numbers 3462/38, 4991/673 is

LCM of Numerators i.e. for 3462,4991 is 17278842

GCF of denominators i.e. for 38,673 is 1.

Thus, LCM of Fractions is 17278842.Finally, LCM of Fractions for 3462/38, 4991/673 is 17278842.