Least Common Multiple of 69/66, 997/14, 872/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/66, 997/14, 872/570 quickly i.e. 29993748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/66, 997/14, 872/570 is 29993748.

LCM(69/66, 997/14, 872/570) = 29993748

LCM of 69/66, 997/14, 872/570

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 69/66,997/14,872/570

Given numbers are 69/66,997/14,872/570

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 69,997,872

Least Common Multiple of Numerators i.e. LCM of 69,997,872 is 59987496.

GCF of Denominators means GCF of 66,14,570 as per the given fractions.

GCF of 66,14,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,997,872

LCM of Fractions 69/66,997/14,872/570 is 29993748

Given numbers has no common factors except 1. So, there LCM is their product i.e 59987496

Least Common Multiple of 69,997,872 with GCF Formula

Least Common Multiple of 69,997,872 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 69,997,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,997,872) = 1

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

GCF(69,997,872) x common factors =1 x 1 = 1

LCM(69,997,872) = ( 69 × 997 × 872 ) / 1

LCM(69,997,872) = 59987496 / 1

LCM(69,997,872) = 59987496


Lets's calculate GCF of 66,14,570

2 66, 14, 570
33, 7, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59987496/2

Therefore the LCM of Fractions 69/66,997/14,872/570 is 29993748

Greatest Common Factor of 66,14,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,14,570 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 66,14,570 . The biggest common factor number is the GCF number.
So the greatest common factor 66,14,570 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 69/66, 997/14, 872/570

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 69/66, 997/14, 872/570?

Answer: LCM of Numerators as per given numbers 69/66, 997/14, 872/570 is

LCM of Numerators i.e. for 69,997,872 is 59987496

GCF of denominators i.e. for 66,14,570 is 2.

Thus, LCM of Fractions is 29993748.Finally, LCM of Fractions for 69/66, 997/14, 872/570 is 29993748.