Least Common Multiple of 4746/93, 7988/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4746/93, 7988/522 quickly i.e. 6318508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4746/93, 7988/522 is 6318508.

LCM(4746/93, 7988/522) = 6318508

LCM of 4746/93, 7988/522

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 4746/93,7988/522

Given numbers are 4746/93,7988/522

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 4746,7988

Least Common Multiple of Numerators i.e. LCM of 4746,7988 is 18955524.

GCF of Denominators means GCF of 93,522 as per the given fractions.

GCF of 93,522 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4746,7988

LCM of Fractions 4746/93,7988/522 is 6318508

2 4746, 7988
2373, 3994

∴ So the LCM of the given numbers is 2 x 2373 x 3994 = 18955524

Least Common Multiple of 4746,7988 with GCF Formula

Least Common Multiple of 4746,7988 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 4746,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4746,7988) = 2

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

GCF(4746,7988) x common factors =2 x 1 = 2

LCM(4746,7988) = ( 4746 × 7988 ) / 2

LCM(4746,7988) = 37911048 / 2

LCM(4746,7988) = 18955524


Lets's calculate GCF of 93,522

3 93, 522
31, 174

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18955524/3

Therefore the LCM of Fractions 4746/93,7988/522 is 6318508

Greatest Common Factor of 93,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,522 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 93,522 . The biggest common factor number is the GCF number.
So the greatest common factor 93,522 is 3.


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 4746/93, 7988/522

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 4746/93, 7988/522?

Answer: LCM of Numerators as per given numbers 4746/93, 7988/522 is

LCM of Numerators i.e. for 4746,7988 is 18955524

GCF of denominators i.e. for 93,522 is 3.

Thus, LCM of Fractions is 6318508.Finally, LCM of Fractions for 4746/93, 7988/522 is 6318508.