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LCM of 390, 851, 592, 271

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


Find the LCM of 390, 851, 592, 271 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 390, 851, 592, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 390,851,592,271

Given numbers are 390,851,592,271

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

The LCM of 390,851,592,271 is 719537520.

Find LCM of 390,851,592,271 with Prime Factorization


2 390, 851, 592, 271
37 195, 851, 296, 271
195, 23, 8, 271

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

2 x 37 x 195 x 23 x 8 x 271 = 719537520

Therefore, the lowest common multiple of 390,851,592,271 is 719537520.

LCM Formula to Find Lowest Common Multiple of 390,851,592,271

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.

390 x 851 x 592 x 271 = 53245776480

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.

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

851 : 1, 23, 37, 851

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,851,592,271, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

851:23x 37

592:2x 2x 2x 2x 37

271:271

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

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 53245776480/(1x74)

LCM = 53245776480/74

LCM = 719537520

Thus, we can understand that the LCM of 390,851,592,271 is 719537520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 390, 851, 592, 271

1. What is the LCM of 390, 851, 592, 271?

Answer: LCM of 390, 851, 592, 271 is 719537520.

2. How to calculate the LCM of 390, 851, 592, 271?

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 390, 851, 592, 271.

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}.