Least Common Multiple of 146/66, 106/83, 943/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/66, 106/83, 943/390 quickly i.e. 7296934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/66, 106/83, 943/390 is 7296934.

LCM(146/66, 106/83, 943/390) = 7296934

LCM of 146/66, 106/83, 943/390

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 146/66,106/83,943/390

Given numbers are 146/66,106/83,943/390

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 146,106,943

Least Common Multiple of Numerators i.e. LCM of 146,106,943 is 7296934.

GCF of Denominators means GCF of 66,83,390 as per the given fractions.

GCF of 66,83,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,106,943

LCM of Fractions 146/66,106/83,943/390 is 7296934

2 146, 106, 943
73, 53, 943

∴ So the LCM of the given numbers is 2 x 73 x 53 x 943 = 7296934

Least Common Multiple of 146,106,943 with GCF Formula

Least Common Multiple of 146,106,943 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 146,106,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,106,943) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(146,106,943) x common factors =1 x 2 = 2

LCM(146,106,943) = ( 146 × 106 × 943 ) / 2

LCM(146,106,943) = 14593868 / 2

LCM(146,106,943) = 7296934


Lets's calculate GCF of 66,83,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7296934/1

Therefore the LCM of Fractions 146/66,106/83,943/390 is 7296934

Greatest Common Factor of 66,83,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,83,390 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 66,83,390 . The biggest common factor number is the GCF number.
So the greatest common factor 66,83,390 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 146/66, 106/83, 943/390

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 146/66, 106/83, 943/390?

Answer: LCM of Numerators as per given numbers 146/66, 106/83, 943/390 is

LCM of Numerators i.e. for 146,106,943 is 7296934

GCF of denominators i.e. for 66,83,390 is 1.

Thus, LCM of Fractions is 7296934.Finally, LCM of Fractions for 146/66, 106/83, 943/390 is 7296934.