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LCM of 395, 363, 748, 719

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


Find the LCM of 395, 363, 748, 719 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 395, 363, 748, 719. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,363,748,719

Given numbers are 395,363,748,719

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

The LCM of 395,363,748,719 is 7010379420.

Find LCM of 395,363,748,719 with Prime Factorization


11 395, 363, 748, 719
395, 33, 68, 719

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

11 x 395 x 33 x 68 x 719 = 7010379420

Therefore, the lowest common multiple of 395,363,748,719 is 7010379420.

LCM Formula to Find Lowest Common Multiple of 395,363,748,719

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.

395 x 363 x 748 x 719 = 77114173620

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.

395 : 1, 5, 79, 395

363 : 1, 3, 11, 33, 121, 363

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,363,748,719, is 1.

Now, the common factors can be found like this.

395:5x 79

363:3x 11x 11

748:2x 2x 11x 17

719:719

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

11 = 11

Therefore, the value for common factors is 11.

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 = 77114173620/(1x11)

LCM = 77114173620/11

LCM = 7010379420

Thus, we can understand that the LCM of 395,363,748,719 is 7010379420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 363, 748, 719

1. What is the LCM of 395, 363, 748, 719?

Answer: LCM of 395, 363, 748, 719 is 7010379420.

2. How to calculate the LCM of 395, 363, 748, 719?

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 395, 363, 748, 719.

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}.