Given numbers are 960,460,790,430

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

The LCM of 960,460,790,430 is 75005760.

Find LCM of 960,460,790,430 with Prime Factorization

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

2 x 2 x 5 x 48 x 23 x 79 x 43 = 75005760

Therefore, the lowest common multiple of 960,460,790,430 is 75005760.

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.

960 x 460 x 790 x 430 = 150011520000

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,460,790,430, is 10.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

460:2x 2x 5x 23

790:2x 5x 79

430:2x 5x 43

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 2x 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 150011520000/(10x200)

LCM = 150011520000/2000

LCM = 75005760

Thus, we can understand that the LCM of 960,460,790,430 is 75005760.

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

• LCM of 494, 744, 406, 540
• LCM of 422, 516, 522, 212
• LCM of 873, 563, 318, 374
• LCM of 946, 176, 614, 684
• LCM of 275, 892, 548, 478

1. What is the LCM of 960, 460, 790, 430?

Answer: LCM of 960, 460, 790, 430 is 75005760.

2. How to calculate the LCM of 960, 460, 790, 430?

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 960, 460, 790, 430.

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}.