Least Common Multiple of 47/528, 4582/9986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/528, 4582/9986 quickly i.e. 107677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/528, 4582/9986 is 107677.

LCM(47/528, 4582/9986) = 107677

LCM of 47/528, 4582/9986

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 47/528,4582/9986

Given numbers are 47/528,4582/9986

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 47,4582

Least Common Multiple of Numerators i.e. LCM of 47,4582 is 215354.

GCF of Denominators means GCF of 528,9986 as per the given fractions.

GCF of 528,9986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,4582

LCM of Fractions 47/528,4582/9986 is 107677

Given numbers has no common factors except 1. So, there LCM is their product i.e 215354

Least Common Multiple of 47,4582 with GCF Formula

Least Common Multiple of 47,4582 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 47,4582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,4582) = 1

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

GCF(47,4582) x common factors =1 x 1 = 1

LCM(47,4582) = ( 47 × 4582 ) / 1

LCM(47,4582) = 215354 / 1

LCM(47,4582) = 215354


Lets's calculate GCF of 528,9986

2 528, 9986
264, 4993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215354/2

Therefore the LCM of Fractions 47/528,4582/9986 is 107677

Greatest Common Factor of 528,9986 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,9986 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 9986

List of positive integer factors of 9986 that divides 9986 without a remainder.

1,2,4993,9986

Greatest Common Factor

We found the factors 528,9986 . The biggest common factor number is the GCF number.
So the greatest common factor 528,9986 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 47/528, 4582/9986

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 47/528, 4582/9986?

Answer: LCM of Numerators as per given numbers 47/528, 4582/9986 is

LCM of Numerators i.e. for 47,4582 is 215354

GCF of denominators i.e. for 528,9986 is 2.

Thus, LCM of Fractions is 107677.Finally, LCM of Fractions for 47/528, 4582/9986 is 107677.