Least Common Multiple of 41/32, 70/52, 39/28, 33/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/32, 70/52, 39/28, 33/306 quickly i.e. 615615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/32, 70/52, 39/28, 33/306 is 615615.

LCM(41/32, 70/52, 39/28, 33/306) = 615615

LCM of 41/32, 70/52, 39/28, 33/306

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 41/32,70/52,39/28,33/306

Given numbers are 41/32,70/52,39/28,33/306

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 41,70,39,33

Least Common Multiple of Numerators i.e. LCM of 41,70,39,33 is 1231230.

GCF of Denominators means GCF of 32,52,28,306 as per the given fractions.

GCF of 32,52,28,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,70,39,33

LCM of Fractions 41/32,70/52,39/28,33/306 is 615615

3 41, 70, 39, 33
41, 70, 13, 11

∴ So the LCM of the given numbers is 3 x 41 x 70 x 13 x 11 = 1231230

Least Common Multiple of 41,70,39,33 with GCF Formula

Least Common Multiple of 41,70,39,33 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 41,70,39,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,70,39,33) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,70,39,33) x common factors =1 x 3 = 3

LCM(41,70,39,33) = ( 41 × 70 × 39 × 33 ) / 3

LCM(41,70,39,33) = 3693690 / 3

LCM(41,70,39,33) = 1231230


Lets's calculate GCF of 32,52,28,306

2 32, 52, 28, 306
16, 26, 14, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1231230/2

Therefore the LCM of Fractions 41/32,70/52,39/28,33/306 is 615615

Greatest Common Factor of 32,52,28,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,52,28,306 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 32,52,28,306 . The biggest common factor number is the GCF number.
So the greatest common factor 32,52,28,306 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 41/32, 70/52, 39/28, 33/306

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 41/32, 70/52, 39/28, 33/306?

Answer: LCM of Numerators as per given numbers 41/32, 70/52, 39/28, 33/306 is

LCM of Numerators i.e. for 41,70,39,33 is 1231230

GCF of denominators i.e. for 32,52,28,306 is 2.

Thus, LCM of Fractions is 615615.Finally, LCM of Fractions for 41/32, 70/52, 39/28, 33/306 is 615615.