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LCM of 650, 794, 864, 507

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


Find the LCM of 650, 794, 864, 507 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 650, 794, 864, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 650,794,864,507

Given numbers are 650,794,864,507

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

The LCM of 650,794,864,507 is 1449208800.

Find LCM of 650,794,864,507 with Prime Factorization


2 650, 794, 864, 507
3 325, 397, 432, 507
13 325, 397, 144, 169
25, 397, 144, 13

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

2 x 3 x 13 x 25 x 397 x 144 x 13 = 1449208800

Therefore, the lowest common multiple of 650,794,864,507 is 1449208800.

LCM Formula to Find Lowest Common Multiple of 650,794,864,507

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.

650 x 794 x 864 x 507 = 226076572800

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.

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

794 : 1, 2, 397, 794

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,794,864,507, is 1.

Now, the common factors can be found like this.

650:2x 5x 5x 13

794:2x 397

864:2x 2x 2x 2x 2x 3x 3x 3

507:3x 13x 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 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 = 226076572800/(1x156)

LCM = 226076572800/156

LCM = 1449208800

Thus, we can understand that the LCM of 650,794,864,507 is 1449208800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 650, 794, 864, 507

1. What is the LCM of 650, 794, 864, 507?

Answer: LCM of 650, 794, 864, 507 is 1449208800.

2. How to calculate the LCM of 650, 794, 864, 507?

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 650, 794, 864, 507.

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}.