Least Common Multiple of 69/675, 10/220, 163/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/675, 10/220, 163/530 quickly i.e. 22494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/675, 10/220, 163/530 is 22494.

LCM(69/675, 10/220, 163/530) = 22494

LCM of 69/675, 10/220, 163/530

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 69/675,10/220,163/530

Given numbers are 69/675,10/220,163/530

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 69,10,163

Least Common Multiple of Numerators i.e. LCM of 69,10,163 is 112470.

GCF of Denominators means GCF of 675,220,530 as per the given fractions.

GCF of 675,220,530 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,10,163

LCM of Fractions 69/675,10/220,163/530 is 22494

Given numbers has no common factors except 1. So, there LCM is their product i.e 112470

Least Common Multiple of 69,10,163 with GCF Formula

Least Common Multiple of 69,10,163 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 69,10,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,10,163) = 1

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

GCF(69,10,163) x common factors =1 x 1 = 1

LCM(69,10,163) = ( 69 × 10 × 163 ) / 1

LCM(69,10,163) = 112470 / 1

LCM(69,10,163) = 112470


Lets's calculate GCF of 675,220,530

5 675, 220, 530
135, 44, 106

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112470/5

Therefore the LCM of Fractions 69/675,10/220,163/530 is 22494

Greatest Common Factor of 675,220,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,220,530 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 675,220,530 . The biggest common factor number is the GCF number.
So the greatest common factor 675,220,530 is 5.


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 69/675, 10/220, 163/530

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 69/675, 10/220, 163/530?

Answer: LCM of Numerators as per given numbers 69/675, 10/220, 163/530 is

LCM of Numerators i.e. for 69,10,163 is 112470

GCF of denominators i.e. for 675,220,530 is 5.

Thus, LCM of Fractions is 22494.Finally, LCM of Fractions for 69/675, 10/220, 163/530 is 22494.