Least Common Multiple of 7801/301, 4758/4988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7801/301, 4758/4988 quickly i.e. 37117158/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7801/301, 4758/4988 is 37117158/43.

LCM(7801/301, 4758/4988) = 37117158/43

LCM of 7801/301, 4758/4988

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 7801/301,4758/4988

Given numbers are 7801/301,4758/4988

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 7801,4758

Least Common Multiple of Numerators i.e. LCM of 7801,4758 is 37117158.

GCF of Denominators means GCF of 301,4988 as per the given fractions.

GCF of 301,4988 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7801,4758

LCM of Fractions 7801/301,4758/4988 is 37117158/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 37117158

Least Common Multiple of 7801,4758 with GCF Formula

Least Common Multiple of 7801,4758 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 7801,4758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7801,4758) = 1

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

GCF(7801,4758) x common factors =1 x 1 = 1

LCM(7801,4758) = ( 7801 × 4758 ) / 1

LCM(7801,4758) = 37117158 / 1

LCM(7801,4758) = 37117158


Lets's calculate GCF of 301,4988

43 301, 4988
7, 116

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37117158/43

Therefore the LCM of Fractions 7801/301,4758/4988 is 37117158/43

Greatest Common Factor of 301,4988 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,4988 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1,2,4,29,43,58,86,116,172,1247,2494,4988

Greatest Common Factor

We found the factors 301,4988 . The biggest common factor number is the GCF number.
So the greatest common factor 301,4988 is 43.


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 7801/301, 4758/4988

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 7801/301, 4758/4988?

Answer: LCM of Numerators as per given numbers 7801/301, 4758/4988 is

LCM of Numerators i.e. for 7801,4758 is 37117158

GCF of denominators i.e. for 301,4988 is 43.

Thus, LCM of Fractions is 37117158/43.Finally, LCM of Fractions for 7801/301, 4758/4988 is 37117158/43.