Least Common Multiple of 17/528, 45/100, 107/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/528, 45/100, 107/821 quickly i.e. 81855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/528, 45/100, 107/821 is 81855.

LCM(17/528, 45/100, 107/821) = 81855

LCM of 17/528, 45/100, 107/821

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 17/528,45/100,107/821

Given numbers are 17/528,45/100,107/821

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 17,45,107

Least Common Multiple of Numerators i.e. LCM of 17,45,107 is 81855.

GCF of Denominators means GCF of 528,100,821 as per the given fractions.

GCF of 528,100,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,45,107

LCM of Fractions 17/528,45/100,107/821 is 81855

Given numbers has no common factors except 1. So, there LCM is their product i.e 81855

Least Common Multiple of 17,45,107 with GCF Formula

Least Common Multiple of 17,45,107 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 17,45,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,45,107) = 1

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

GCF(17,45,107) x common factors =1 x 1 = 1

LCM(17,45,107) = ( 17 × 45 × 107 ) / 1

LCM(17,45,107) = 81855 / 1

LCM(17,45,107) = 81855


Lets's calculate GCF of 528,100,821

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81855/1

Therefore the LCM of Fractions 17/528,45/100,107/821 is 81855

Greatest Common Factor of 528,100,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,100,821 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 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 528,100,821 . The biggest common factor number is the GCF number.
So the greatest common factor 528,100,821 is 1.


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 17/528, 45/100, 107/821

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 17/528, 45/100, 107/821?

Answer: LCM of Numerators as per given numbers 17/528, 45/100, 107/821 is

LCM of Numerators i.e. for 17,45,107 is 81855

GCF of denominators i.e. for 528,100,821 is 1.

Thus, LCM of Fractions is 81855.Finally, LCM of Fractions for 17/528, 45/100, 107/821 is 81855.