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LCM of 742, 378, 681, 399

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


Find the LCM of 742, 378, 681, 399 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 742, 378, 681, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,378,681,399

Given numbers are 742,378,681,399

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

The LCM of 742,378,681,399 is 86406642.

Find LCM of 742,378,681,399 with Prime Factorization


2 742, 378, 681, 399
3 371, 189, 681, 399
7 371, 63, 227, 133
53, 9, 227, 19

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

2 x 3 x 7 x 53 x 9 x 227 x 19 = 86406642

Therefore, the lowest common multiple of 742,378,681,399 is 86406642.

LCM Formula to Find Lowest Common Multiple of 742,378,681,399

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.

742 x 378 x 681 x 399 = 76210658244

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

681 : 1, 3, 227, 681

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,378,681,399, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

378:2x 3x 3x 3x 7

681:3x 227

399:3x 7x 19

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

2x 3x 3x 7x 7 = 882

Therefore, the value for common factors is 882.

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 = 76210658244/(1x882)

LCM = 76210658244/882

LCM = 86406642

Thus, we can understand that the LCM of 742,378,681,399 is 86406642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 378, 681, 399

1. What is the LCM of 742, 378, 681, 399?

Answer: LCM of 742, 378, 681, 399 is 86406642.

2. How to calculate the LCM of 742, 378, 681, 399?

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 742, 378, 681, 399.

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}.