Least Common Multiple of 7991/46, 2338/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7991/46, 2338/708 quickly i.e. 9341479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7991/46, 2338/708 is 9341479.

LCM(7991/46, 2338/708) = 9341479

LCM of 7991/46, 2338/708

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 7991/46,2338/708

Given numbers are 7991/46,2338/708

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 7991,2338

Least Common Multiple of Numerators i.e. LCM of 7991,2338 is 18682958.

GCF of Denominators means GCF of 46,708 as per the given fractions.

GCF of 46,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7991,2338

LCM of Fractions 7991/46,2338/708 is 9341479

Given numbers has no common factors except 1. So, there LCM is their product i.e 18682958

Least Common Multiple of 7991,2338 with GCF Formula

Least Common Multiple of 7991,2338 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 7991,2338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7991,2338) = 1

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

GCF(7991,2338) x common factors =1 x 1 = 1

LCM(7991,2338) = ( 7991 × 2338 ) / 1

LCM(7991,2338) = 18682958 / 1

LCM(7991,2338) = 18682958


Lets's calculate GCF of 46,708

2 46, 708
23, 354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18682958/2

Therefore the LCM of Fractions 7991/46,2338/708 is 9341479

Greatest Common Factor of 46,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,708 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 46,708 . The biggest common factor number is the GCF number.
So the greatest common factor 46,708 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 7991/46, 2338/708

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 7991/46, 2338/708?

Answer: LCM of Numerators as per given numbers 7991/46, 2338/708 is

LCM of Numerators i.e. for 7991,2338 is 18682958

GCF of denominators i.e. for 46,708 is 2.

Thus, LCM of Fractions is 9341479.Finally, LCM of Fractions for 7991/46, 2338/708 is 9341479.