Given numbers are 785,880,770,145,970

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

The LCM of 785,880,770,145,970 is 2720508560.

Find LCM of 785,880,770,145,970 with Prime Factorization

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

2 x 5 x 11 x 157 x 8 x 7 x 29 x 97 = 2720508560

Therefore, the lowest common multiple of 785,880,770,145,970 is 2720508560.

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.

785 x 880 x 770 x 145 x 970 = 74813985400000

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.

785 : 1, 5, 157, 785

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

145 : 1, 5, 29, 145

970 : 1, 2, 5, 10, 97, 194, 485, 970

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,880,770,145,970, is 5.

Now, the common factors can be found like this.

785:5x 157

880:2x 2x 2x 2x 5x 11

770:2x 5x 7x 11

145:5x 29

970:2x 5x 97

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 5x 5x 11 = 5500

Therefore, the value for common factors is 5500.

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 = 74813985400000/(5x5500)

LCM = 74813985400000/27500

LCM = 2720508560

Thus, we can understand that the LCM of 785,880,770,145,970 is 2720508560.

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

• LCM of 342, 621, 521, 912, 380
• LCM of 502, 209, 922, 980, 647
• LCM of 769, 636, 747, 467, 643
• LCM of 299, 849, 822, 923, 530
• LCM of 979, 197, 608, 116, 678

1. What is the LCM of 785, 880, 770, 145, 970?

Answer: LCM of 785, 880, 770, 145, 970 is 2720508560.

2. How to calculate the LCM of 785, 880, 770, 145, 970?

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 785, 880, 770, 145, 970.

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}.