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LCM of 911, 598, 763, 390

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


Find the LCM of 911, 598, 763, 390 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 911, 598, 763, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 911,598,763,390

Given numbers are 911,598,763,390

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

The LCM of 911,598,763,390 is 6234984210.

Find LCM of 911,598,763,390 with Prime Factorization


2 911, 598, 763, 390
13 911, 299, 763, 195
911, 23, 763, 15

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

2 x 13 x 911 x 23 x 763 x 15 = 6234984210

Therefore, the lowest common multiple of 911,598,763,390 is 6234984210.

LCM Formula to Find Lowest Common Multiple of 911,598,763,390

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.

911 x 598 x 763 x 390 = 162109589460

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.

911 : 1, 911

598 : 1, 2, 13, 23, 26, 46, 299, 598

763 : 1, 7, 109, 763

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,598,763,390, is 1.

Now, the common factors can be found like this.

911:911

598:2x 13x 23

763:7x 109

390:2x 3x 5x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 162109589460/(1x26)

LCM = 162109589460/26

LCM = 6234984210

Thus, we can understand that the LCM of 911,598,763,390 is 6234984210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 911, 598, 763, 390

1. What is the LCM of 911, 598, 763, 390?

Answer: LCM of 911, 598, 763, 390 is 6234984210.

2. How to calculate the LCM of 911, 598, 763, 390?

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 911, 598, 763, 390.

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}.