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LCM of 667, 608, 986, 654

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


Find the LCM of 667, 608, 986, 654 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 667, 608, 986, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,608,986,654

Given numbers are 667,608,986,654

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

The LCM of 667,608,986,654 is 2254374624.

Find LCM of 667,608,986,654 with Prime Factorization


2 667, 608, 986, 654
29 667, 304, 493, 327
23, 304, 17, 327

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

2 x 29 x 23 x 304 x 17 x 327 = 2254374624

Therefore, the lowest common multiple of 667,608,986,654 is 2254374624.

LCM Formula to Find Lowest Common Multiple of 667,608,986,654

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.

667 x 608 x 986 x 654 = 261507456384

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.

667 : 1, 23, 29, 667

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,608,986,654, is 1.

Now, the common factors can be found like this.

667:23x 29

608:2x 2x 2x 2x 2x 19

986:2x 17x 29

654:2x 3x 109

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 29 = 116

Therefore, the value for common factors is 116.

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 = 261507456384/(1x116)

LCM = 261507456384/116

LCM = 2254374624

Thus, we can understand that the LCM of 667,608,986,654 is 2254374624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 608, 986, 654

1. What is the LCM of 667, 608, 986, 654?

Answer: LCM of 667, 608, 986, 654 is 2254374624.

2. How to calculate the LCM of 667, 608, 986, 654?

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 667, 608, 986, 654.

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}.