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LCM of 662, 507, 954, 299

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


Find the LCM of 662, 507, 954, 299 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 662, 507, 954, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,507,954,299

Given numbers are 662,507,954,299

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

The LCM of 662,507,954,299 is 1227413538.

Find LCM of 662,507,954,299 with Prime Factorization


2 662, 507, 954, 299
3 331, 507, 477, 299
13 331, 169, 159, 299
331, 13, 159, 23

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

2 x 3 x 13 x 331 x 13 x 159 x 23 = 1227413538

Therefore, the lowest common multiple of 662,507,954,299 is 1227413538.

LCM Formula to Find Lowest Common Multiple of 662,507,954,299

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.

662 x 507 x 954 x 299 = 95738255964

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.

662 : 1, 2, 331, 662

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

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,507,954,299, is 1.

Now, the common factors can be found like this.

662:2x 331

507:3x 13x 13

954:2x 3x 3x 53

299:13x 23

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 95738255964/(1x78)

LCM = 95738255964/78

LCM = 1227413538

Thus, we can understand that the LCM of 662,507,954,299 is 1227413538.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 507, 954, 299

1. What is the LCM of 662, 507, 954, 299?

Answer: LCM of 662, 507, 954, 299 is 1227413538.

2. How to calculate the LCM of 662, 507, 954, 299?

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 662, 507, 954, 299.

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}.