Given numbers are 960,394,770,410

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

The LCM of 960,394,770,410 is 597051840.

Find LCM of 960,394,770,410 with Prime Factorization

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

2 x 5 x 96 x 197 x 77 x 41 = 597051840

Therefore, the lowest common multiple of 960,394,770,410 is 597051840.

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 394 x 770 x 410 = 119410368000

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

394 : 1, 2, 197, 394

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

410 : 1, 2, 5, 10, 41, 82, 205, 410

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,394,770,410, is 2.

Now, the common factors can be found like this.

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

394:2x 197

770:2x 5x 7x 11

410:2x 5x 41

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 119410368000/(2x100)

LCM = 119410368000/200

LCM = 597051840

Thus, we can understand that the LCM of 960,394,770,410 is 597051840.

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

• LCM of 410, 839, 645, 707
• LCM of 795, 637, 867, 152
• LCM of 899, 405, 971, 630
• LCM of 717, 552, 398, 448
• LCM of 887, 874, 312, 211

1. What is the LCM of 960, 394, 770, 410?

Answer: LCM of 960, 394, 770, 410 is 597051840.

2. How to calculate the LCM of 960, 394, 770, 410?

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, 394, 770, 410.

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}.