Given numbers are 513,708,992,743,770

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

The LCM of 513,708,992,743,770 is 8588762471520.

Find LCM of 513,708,992,743,770 with Prime Factorization

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

2 x 2 x 3 x 171 x 59 x 248 x 743 x 385 = 8588762471520

Therefore, the lowest common multiple of 513,708,992,743,770 is 8588762471520.

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.

513 x 708 x 992 x 743 x 770 = 206130299316480

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

743 : 1, 743

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,708,992,743,770, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

708:2x 2x 3x 59

992:2x 2x 2x 2x 2x 31

743:743

770:2x 5x 7x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 206130299316480/(1x24)

LCM = 206130299316480/24

LCM = 8588762471520

Thus, we can understand that the LCM of 513,708,992,743,770 is 8588762471520.

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

• LCM of 504, 249, 963, 448, 334
• LCM of 172, 531, 442, 644, 404
• LCM of 877, 253, 351, 771, 956
• LCM of 362, 383, 730, 244, 528
• LCM of 727, 227, 678, 123, 618

1. What is the LCM of 513, 708, 992, 743, 770?

Answer: LCM of 513, 708, 992, 743, 770 is 8588762471520.

2. How to calculate the LCM of 513, 708, 992, 743, 770?

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 513, 708, 992, 743, 770.

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}.