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LCM of 383, 365, 895, 790

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


Find the LCM of 383, 365, 895, 790 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 383, 365, 895, 790. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 383,365,895,790

Given numbers are 383,365,895,790

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

The LCM of 383,365,895,790 is 3953682190.

Find LCM of 383,365,895,790 with Prime Factorization


5 383, 365, 895, 790
383, 73, 179, 158

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

5 x 383 x 73 x 179 x 158 = 3953682190

Therefore, the lowest common multiple of 383,365,895,790 is 3953682190.

LCM Formula to Find Lowest Common Multiple of 383,365,895,790

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.

383 x 365 x 895 x 790 = 98842054750

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.

383 : 1, 383

365 : 1, 5, 73, 365

895 : 1, 5, 179, 895

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,365,895,790, is 1.

Now, the common factors can be found like this.

383:383

365:5x 73

895:5x 179

790:2x 5x 79

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 98842054750/(1x25)

LCM = 98842054750/25

LCM = 3953682190

Thus, we can understand that the LCM of 383,365,895,790 is 3953682190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 383, 365, 895, 790

1. What is the LCM of 383, 365, 895, 790?

Answer: LCM of 383, 365, 895, 790 is 3953682190.

2. How to calculate the LCM of 383, 365, 895, 790?

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 383, 365, 895, 790.

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}.