Given numbers are 770,416,420,935,292

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

The LCM of 770,416,420,935,292 is 596275680.

Find LCM of 770,416,420,935,292 with Prime Factorization

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

2 x 2 x 5 x 7 x 11 x 1 x 104 x 3 x 17 x 73 = 596275680

Therefore, the lowest common multiple of 770,416,420,935,292 is 596275680.

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 416 x 420 x 935 x 292 = 36730581888000

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

935 : 1, 5, 11, 17, 55, 85, 187, 935

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,416,420,935,292, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

416:2x 2x 2x 2x 2x 13

420:2x 2x 3x 5x 7

935:5x 11x 17

292:2x 2x 73

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 5x 5x 7x 11 = 61600

Therefore, the value for common factors is 61600.

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 = 36730581888000/(1x61600)

LCM = 36730581888000/61600

LCM = 596275680

Thus, we can understand that the LCM of 770,416,420,935,292 is 596275680.

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

• LCM of 562, 508, 114, 131, 519
• LCM of 482, 180, 143, 147, 359
• LCM of 700, 328, 535, 882, 303
• LCM of 695, 101, 600, 216, 164
• LCM of 556, 680, 341, 838, 339

1. What is the LCM of 770, 416, 420, 935, 292?

Answer: LCM of 770, 416, 420, 935, 292 is 596275680.

2. How to calculate the LCM of 770, 416, 420, 935, 292?

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, 416, 420, 935, 292.

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}.