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LCM of 866, 299, 483, 602

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


Find the LCM of 866, 299, 483, 602 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 866, 299, 483, 602. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 866,299,483,602

Given numbers are 866,299,483,602

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

The LCM of 866,299,483,602 is 233817402.

Find LCM of 866,299,483,602 with Prime Factorization


2 866, 299, 483, 602
7 433, 299, 483, 301
23 433, 299, 69, 43
433, 13, 3, 43

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

2 x 7 x 23 x 433 x 13 x 3 x 43 = 233817402

Therefore, the lowest common multiple of 866,299,483,602 is 233817402.

LCM Formula to Find Lowest Common Multiple of 866,299,483,602

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.

866 x 299 x 483 x 602 = 75289203444

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.

866 : 1, 2, 433, 866

299 : 1, 13, 23, 299

483 : 1, 3, 7, 21, 23, 69, 161, 483

602 : 1, 2, 7, 14, 43, 86, 301, 602

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,299,483,602, is 1.

Now, the common factors can be found like this.

866:2x 433

299:13x 23

483:3x 7x 23

602:2x 7x 43

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

2x 7x 23 = 322

Therefore, the value for common factors is 322.

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 = 75289203444/(1x322)

LCM = 75289203444/322

LCM = 233817402

Thus, we can understand that the LCM of 866,299,483,602 is 233817402.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 866, 299, 483, 602

1. What is the LCM of 866, 299, 483, 602?

Answer: LCM of 866, 299, 483, 602 is 233817402.

2. How to calculate the LCM of 866, 299, 483, 602?

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 866, 299, 483, 602.

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}.