Given numbers are 667,664,430,321,749

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

The LCM of 667,664,430,321,749 is 213961407240.

Find LCM of 667,664,430,321,749 with Prime Factorization

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

2 x 107 x 667 x 332 x 215 x 3 x 7 = 213961407240

Therefore, the lowest common multiple of 667,664,430,321,749 is 213961407240.

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 664 x 430 x 321 x 749 = 45787741149360

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

664 : 1, 2, 4, 8, 83, 166, 332, 664

430 : 1, 2, 5, 10, 43, 86, 215, 430

321 : 1, 3, 107, 321

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,664,430,321,749, is 1.

Now, the common factors can be found like this.

667:23x 29

664:2x 2x 2x 83

430:2x 5x 43

321:3x 107

749:7x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 45787741149360/(1x214)

LCM = 45787741149360/214

LCM = 213961407240

Thus, we can understand that the LCM of 667,664,430,321,749 is 213961407240.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 256, 905, 807, 350, 622
• LCM of 606, 171, 338, 209, 685
• LCM of 513, 305, 352, 995, 588
• LCM of 618, 861, 629, 248, 528
• LCM of 952, 262, 710, 538, 322

1. What is the LCM of 667, 664, 430, 321, 749?

Answer: LCM of 667, 664, 430, 321, 749 is 213961407240.

2. How to calculate the LCM of 667, 664, 430, 321, 749?

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, 664, 430, 321, 749.

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}.