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LCM of 319, 362, 718, 735

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


Find the LCM of 319, 362, 718, 735 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 319, 362, 718, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,362,718,735

Given numbers are 319,362,718,735

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

The LCM of 319,362,718,735 is 30470602470.

Find LCM of 319,362,718,735 with Prime Factorization


2 319, 362, 718, 735
319, 181, 359, 735

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

2 x 319 x 181 x 359 x 735 = 30470602470

Therefore, the lowest common multiple of 319,362,718,735 is 30470602470.

LCM Formula to Find Lowest Common Multiple of 319,362,718,735

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.

319 x 362 x 718 x 735 = 60941204940

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.

319 : 1, 11, 29, 319

362 : 1, 2, 181, 362

718 : 1, 2, 359, 718

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,362,718,735, is 1.

Now, the common factors can be found like this.

319:11x 29

362:2x 181

718:2x 359

735:3x 5x 7x 7

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 = 60941204940/(1x2)

LCM = 60941204940/2

LCM = 30470602470

Thus, we can understand that the LCM of 319,362,718,735 is 30470602470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 362, 718, 735

1. What is the LCM of 319, 362, 718, 735?

Answer: LCM of 319, 362, 718, 735 is 30470602470.

2. How to calculate the LCM of 319, 362, 718, 735?

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 319, 362, 718, 735.

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}.