Least Common Multiple of 69/66, 622/36, 901/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/66, 622/36, 901/946 quickly i.e. 19334559 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, 622/36, 901/946 is 19334559.

LCM(69/66, 622/36, 901/946) = 19334559

LCM of 69/66, 622/36, 901/946

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 69/66,622/36,901/946

Given numbers are 69/66,622/36,901/946

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 69,622,901

Least Common Multiple of Numerators i.e. LCM of 69,622,901 is 38669118.

GCF of Denominators means GCF of 66,36,946 as per the given fractions.

GCF of 66,36,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,622,901

LCM of Fractions 69/66,622/36,901/946 is 19334559

Given numbers has no common factors except 1. So, there LCM is their product i.e 38669118

Least Common Multiple of 69,622,901 with GCF Formula

Least Common Multiple of 69,622,901 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 69,622,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,622,901) = 1

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

GCF(69,622,901) x common factors =1 x 1 = 1

LCM(69,622,901) = ( 69 × 622 × 901 ) / 1

LCM(69,622,901) = 38669118 / 1

LCM(69,622,901) = 38669118


Lets's calculate GCF of 66,36,946

2 66, 36, 946
33, 18, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38669118/2

Therefore the LCM of Fractions 69/66,622/36,901/946 is 19334559

Greatest Common Factor of 66,36,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,36,946 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 66,36,946 . The biggest common factor number is the GCF number.
So the greatest common factor 66,36,946 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, 622/36, 901/946

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, 622/36, 901/946?

Answer: LCM of Numerators as per given numbers 69/66, 622/36, 901/946 is

LCM of Numerators i.e. for 69,622,901 is 38669118

GCF of denominators i.e. for 66,36,946 is 2.

Thus, LCM of Fractions is 19334559.Finally, LCM of Fractions for 69/66, 622/36, 901/946 is 19334559.