Least Common Multiple of 42/51, 54/45, 62/33, 83/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/51, 54/45, 62/33, 83/909 quickly i.e. 324198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/51, 54/45, 62/33, 83/909 is 324198.

LCM(42/51, 54/45, 62/33, 83/909) = 324198

LCM of 42/51, 54/45, 62/33, 83/909

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 42/51,54/45,62/33,83/909

Given numbers are 42/51,54/45,62/33,83/909

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 42,54,62,83

Least Common Multiple of Numerators i.e. LCM of 42,54,62,83 is 972594.

GCF of Denominators means GCF of 51,45,33,909 as per the given fractions.

GCF of 51,45,33,909 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,54,62,83

LCM of Fractions 42/51,54/45,62/33,83/909 is 324198

2 42, 54, 62, 83
3 21, 27, 31, 83
7, 9, 31, 83

∴ So the LCM of the given numbers is 2 x 3 x 7 x 9 x 31 x 83 = 972594

Least Common Multiple of 42,54,62,83 with GCF Formula

Least Common Multiple of 42,54,62,83 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 42,54,62,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,54,62,83) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(42,54,62,83) x common factors =1 x 12 = 12

LCM(42,54,62,83) = ( 42 × 54 × 62 × 83 ) / 12

LCM(42,54,62,83) = 11671128 / 12

LCM(42,54,62,83) = 972594


Lets's calculate GCF of 51,45,33,909

3 51, 45, 33, 909
17, 15, 11, 303

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972594/3

Therefore the LCM of Fractions 42/51,54/45,62/33,83/909 is 324198

Greatest Common Factor of 51,45,33,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,45,33,909 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 51,45,33,909 . The biggest common factor number is the GCF number.
So the greatest common factor 51,45,33,909 is 3.


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 42/51, 54/45, 62/33, 83/909

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 42/51, 54/45, 62/33, 83/909?

Answer: LCM of Numerators as per given numbers 42/51, 54/45, 62/33, 83/909 is

LCM of Numerators i.e. for 42,54,62,83 is 972594

GCF of denominators i.e. for 51,45,33,909 is 3.

Thus, LCM of Fractions is 324198.Finally, LCM of Fractions for 42/51, 54/45, 62/33, 83/909 is 324198.