Least Common Multiple of 7411/348, 4993/8698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7411/348, 4993/8698 quickly i.e. 37003123/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7411/348, 4993/8698 is 37003123/2.

LCM(7411/348, 4993/8698) = 37003123/2

LCM of 7411/348, 4993/8698

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 7411/348,4993/8698

Given numbers are 7411/348,4993/8698

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 7411,4993

Least Common Multiple of Numerators i.e. LCM of 7411,4993 is 37003123.

GCF of Denominators means GCF of 348,8698 as per the given fractions.

GCF of 348,8698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7411,4993

LCM of Fractions 7411/348,4993/8698 is 37003123/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 37003123

Least Common Multiple of 7411,4993 with GCF Formula

Least Common Multiple of 7411,4993 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 7411,4993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7411,4993) = 1

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

GCF(7411,4993) x common factors =1 x 1 = 1

LCM(7411,4993) = ( 7411 × 4993 ) / 1

LCM(7411,4993) = 37003123 / 1

LCM(7411,4993) = 37003123


Lets's calculate GCF of 348,8698

2 348, 8698
174, 4349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37003123/2

Therefore the LCM of Fractions 7411/348,4993/8698 is 37003123/2

Greatest Common Factor of 348,8698 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,8698 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 8698

List of positive integer factors of 8698 that divides 8698 without a remainder.

1,2,4349,8698

Greatest Common Factor

We found the factors 348,8698 . The biggest common factor number is the GCF number.
So the greatest common factor 348,8698 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 7411/348, 4993/8698

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 7411/348, 4993/8698?

Answer: LCM of Numerators as per given numbers 7411/348, 4993/8698 is

LCM of Numerators i.e. for 7411,4993 is 37003123

GCF of denominators i.e. for 348,8698 is 2.

Thus, LCM of Fractions is 37003123/2.Finally, LCM of Fractions for 7411/348, 4993/8698 is 37003123/2.