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LCM of 733, 464, 761, 422, 303

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 733, 464, 761, 422, 303 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 733, 464, 761, 422, 303. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 733,464,761,422,303

Given numbers are 733,464,761,422,303

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 733,464,761,422,303 is 16547473557456.

Find LCM of 733,464,761,422,303 with Prime Factorization


2 733, 464, 761, 422, 303
733, 232, 761, 211, 303

Multiply the prime numbers at the bottom and the left side.

2 x 733 x 232 x 761 x 211 x 303 = 16547473557456

Therefore, the lowest common multiple of 733,464,761,422,303 is 16547473557456.

LCM Formula to Find Lowest Common Multiple of 733,464,761,422,303

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

733 x 464 x 761 x 422 x 303 = 33094947114912

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

733 : 1, 733

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

761 : 1, 761

422 : 1, 2, 211, 422

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,464,761,422,303, is 1.

Now, the common factors can be found like this.

733:733

464:2x 2x 2x 2x 29

761:761

422:2x 211

303:3x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 33094947114912/(1x2)

LCM = 33094947114912/2

LCM = 16547473557456

Thus, we can understand that the LCM of 733,464,761,422,303 is 16547473557456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 733, 464, 761, 422, 303

1. What is the LCM of 733, 464, 761, 422, 303?

Answer: LCM of 733, 464, 761, 422, 303 is 16547473557456.

2. How to calculate the LCM of 733, 464, 761, 422, 303?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 733, 464, 761, 422, 303.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.