Given numbers are 770,962,624,742

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

The LCM of 770,962,624,742 is 471110640.

Find LCM of 770,962,624,742 with Prime Factorization

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

2 x 7 x 13 x 55 x 37 x 24 x 53 = 471110640

Therefore, the lowest common multiple of 770,962,624,742 is 471110640.

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 962 x 624 x 742 = 342968545920

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,962,624,742, is 2.

Now, the common factors can be found like this.

770:2x 5x 7x 11

962:2x 13x 37

624:2x 2x 2x 2x 3x 13

742:2x 7x 53

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 342968545920/(2x364)

LCM = 342968545920/728

LCM = 471110640

Thus, we can understand that the LCM of 770,962,624,742 is 471110640.

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

• LCM of 518, 414, 644, 933
• LCM of 259, 834, 640, 117
• LCM of 678, 544, 301, 234
• LCM of 579, 721, 309, 960
• LCM of 718, 288, 337, 410

1. What is the LCM of 770, 962, 624, 742?

Answer: LCM of 770, 962, 624, 742 is 471110640.

2. How to calculate the LCM of 770, 962, 624, 742?

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, 962, 624, 742.

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}.