Given numbers are 667,377,460,961

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

The LCM of 667,377,460,961 is 166656620.

Find LCM of 667,377,460,961 with Prime Factorization

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

23 x 29 x 1 x 13 x 20 x 961 = 166656620

Therefore, the lowest common multiple of 667,377,460,961 is 166656620.

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 377 x 460 x 961 = 111159965540

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

377 : 1, 13, 29, 377

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,377,460,961, is 1.

Now, the common factors can be found like this.

667:23x 29

377:13x 29

460:2x 2x 5x 23

961:31x 31

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

23x 29 = 667

Therefore, the value for common factors is 667.

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 = 111159965540/(1x667)

LCM = 111159965540/667

LCM = 166656620

Thus, we can understand that the LCM of 667,377,460,961 is 166656620.

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

• LCM of 646, 925, 750, 386
• LCM of 598, 845, 863, 347
• LCM of 309, 885, 766, 535
• LCM of 774, 197, 906, 763
• LCM of 710, 976, 284, 860

1. What is the LCM of 667, 377, 460, 961?

Answer: LCM of 667, 377, 460, 961 is 166656620.

2. How to calculate the LCM of 667, 377, 460, 961?

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, 377, 460, 961.

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}.