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LCM of 5, 468, 768, 611

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


Find the LCM of 5, 468, 768, 611 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 5, 468, 768, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5,468,768,611

Given numbers are 5,468,768,611

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

The LCM of 5,468,768,611 is 7038720.

Find LCM of 5,468,768,611 with Prime Factorization


2 5, 468, 768, 611
2 5, 234, 384, 611
3 5, 117, 192, 611
13 5, 39, 64, 611
5, 3, 64, 47

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

2 x 2 x 3 x 13 x 5 x 3 x 64 x 47 = 7038720

Therefore, the lowest common multiple of 5,468,768,611 is 7038720.

LCM Formula to Find Lowest Common Multiple of 5,468,768,611

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.

5 x 468 x 768 x 611 = 1098040320

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.

5 : 1, 5

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5,468,768,611, is 1.

Now, the common factors can be found like this.

5:5

468:2x 2x 3x 3x 13

768:2x 2x 2x 2x 2x 2x 2x 2x 3

611:13x 47

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

2x 2x 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 1098040320/(1x156)

LCM = 1098040320/156

LCM = 7038720

Thus, we can understand that the LCM of 5,468,768,611 is 7038720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 5, 468, 768, 611

1. What is the LCM of 5, 468, 768, 611?

Answer: LCM of 5, 468, 768, 611 is 7038720.

2. How to calculate the LCM of 5, 468, 768, 611?

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 5, 468, 768, 611.

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}.