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LCM of 463, 299, 654, 667

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


Find the LCM of 463, 299, 654, 667 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 463, 299, 654, 667. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,299,654,667

Given numbers are 463,299,654,667

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

The LCM of 463,299,654,667 is 2625596142.

Find LCM of 463,299,654,667 with Prime Factorization


23 463, 299, 654, 667
463, 13, 654, 29

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

23 x 463 x 13 x 654 x 29 = 2625596142

Therefore, the lowest common multiple of 463,299,654,667 is 2625596142.

LCM Formula to Find Lowest Common Multiple of 463,299,654,667

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.

463 x 299 x 654 x 667 = 60388711266

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.

463 : 1, 463

299 : 1, 13, 23, 299

654 : 1, 2, 3, 6, 109, 218, 327, 654

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,299,654,667, is 1.

Now, the common factors can be found like this.

463:463

299:13x 23

654:2x 3x 109

667:23x 29

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

23 = 23

Therefore, the value for common factors is 23.

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 = 60388711266/(1x23)

LCM = 60388711266/23

LCM = 2625596142

Thus, we can understand that the LCM of 463,299,654,667 is 2625596142.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 299, 654, 667

1. What is the LCM of 463, 299, 654, 667?

Answer: LCM of 463, 299, 654, 667 is 2625596142.

2. How to calculate the LCM of 463, 299, 654, 667?

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 463, 299, 654, 667.

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}.