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LCM of 659, 921, 507, 266, 772

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


Find the LCM of 659, 921, 507, 266, 772 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 659, 921, 507, 266, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 659,921,507,266,772

Given numbers are 659,921,507,266,772

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

The LCM of 659,921,507,266,772 is 10531753621116.

Find LCM of 659,921,507,266,772 with Prime Factorization


2 659, 921, 507, 266, 772
3 659, 921, 507, 133, 386
659, 307, 169, 133, 386

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

2 x 3 x 659 x 307 x 169 x 133 x 386 = 10531753621116

Therefore, the lowest common multiple of 659,921,507,266,772 is 10531753621116.

LCM Formula to Find Lowest Common Multiple of 659,921,507,266,772

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.

659 x 921 x 507 x 266 x 772 = 63190521726696

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.

659 : 1, 659

921 : 1, 3, 307, 921

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,921,507,266,772, is 1.

Now, the common factors can be found like this.

659:659

921:3x 307

507:3x 13x 13

266:2x 7x 19

772:2x 2x 193

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 63190521726696/(1x6)

LCM = 63190521726696/6

LCM = 10531753621116

Thus, we can understand that the LCM of 659,921,507,266,772 is 10531753621116.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 659, 921, 507, 266, 772

1. What is the LCM of 659, 921, 507, 266, 772?

Answer: LCM of 659, 921, 507, 266, 772 is 10531753621116.

2. How to calculate the LCM of 659, 921, 507, 266, 772?

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 659, 921, 507, 266, 772.

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}.