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LCM of 266, 867, 106, 530

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


Find the LCM of 266, 867, 106, 530 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 266, 867, 106, 530. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 266,867,106,530

Given numbers are 266,867,106,530

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

The LCM of 266,867,106,530 is 61114830.

Find LCM of 266,867,106,530 with Prime Factorization


2 266, 867, 106, 530
53 133, 867, 53, 265
133, 867, 1, 5

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

2 x 53 x 133 x 867 x 1 x 5 = 61114830

Therefore, the lowest common multiple of 266,867,106,530 is 61114830.

LCM Formula to Find Lowest Common Multiple of 266,867,106,530

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.

266 x 867 x 106 x 530 = 12956343960

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.

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

867 : 1, 3, 17, 51, 289, 867

106 : 1, 2, 53, 106

530 : 1, 2, 5, 10, 53, 106, 265, 530

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,867,106,530, is 1.

Now, the common factors can be found like this.

266:2x 7x 19

867:3x 17x 17

106:2x 53

530:2x 5x 53

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 53 = 212

Therefore, the value for common factors is 212.

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 = 12956343960/(1x212)

LCM = 12956343960/212

LCM = 61114830

Thus, we can understand that the LCM of 266,867,106,530 is 61114830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 266, 867, 106, 530

1. What is the LCM of 266, 867, 106, 530?

Answer: LCM of 266, 867, 106, 530 is 61114830.

2. How to calculate the LCM of 266, 867, 106, 530?

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 266, 867, 106, 530.

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}.