Given numbers are 770,323,312,328,370

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

The LCM of 770,323,312,328,370 is 58857718920.

Find LCM of 770,323,312,328,370 with Prime Factorization

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

2 x 2 x 2 x 5 x 77 x 323 x 39 x 41 x 37 = 58857718920

Therefore, the lowest common multiple of 770,323,312,328,370 is 58857718920.

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.

770 x 323 x 312 x 328 x 370 = 9417235027200

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.

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

323 : 1, 17, 19, 323

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

328 : 1, 2, 4, 8, 41, 82, 164, 328

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,323,312,328,370, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

323:17x 19

312:2x 2x 2x 3x 13

328:2x 2x 2x 41

370:2x 5x 37

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 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 9417235027200/(1x160)

LCM = 9417235027200/160

LCM = 58857718920

Thus, we can understand that the LCM of 770,323,312,328,370 is 58857718920.

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

• LCM of 926, 662, 814, 944, 857
• LCM of 953, 193, 215, 387, 753
• LCM of 760, 617, 373, 829, 133
• LCM of 479, 315, 375, 344, 176
• LCM of 120, 453, 368, 988, 351

1. What is the LCM of 770, 323, 312, 328, 370?

Answer: LCM of 770, 323, 312, 328, 370 is 58857718920.

2. How to calculate the LCM of 770, 323, 312, 328, 370?

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 770, 323, 312, 328, 370.

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}.