Given numbers are 748,986,992,115,651

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

The LCM of 748,986,992,115,651 is 12991772640.

Find LCM of 748,986,992,115,651 with Prime Factorization

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

2 x 2 x 17 x 31 x 11 x 29 x 8 x 115 x 21 = 12991772640

Therefore, the lowest common multiple of 748,986,992,115,651 is 12991772640.

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.

748 x 986 x 992 x 115 x 651 = 54773313450240

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

115 : 1, 5, 23, 115

651 : 1, 3, 7, 21, 31, 93, 217, 651

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,986,992,115,651, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

986:2x 17x 29

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

115:5x 23

651:3x 7x 31

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 17x 31 = 4216

Therefore, the value for common factors is 4216.

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 = 54773313450240/(1x4216)

LCM = 54773313450240/4216

LCM = 12991772640

Thus, we can understand that the LCM of 748,986,992,115,651 is 12991772640.

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

• LCM of 992, 156, 746, 901, 261
• LCM of 137, 391, 510, 443, 917
• LCM of 867, 950, 522, 223, 372
• LCM of 679, 944, 347, 469, 740
• LCM of 761, 641, 136, 359, 359

1. What is the LCM of 748, 986, 992, 115, 651?

Answer: LCM of 748, 986, 992, 115, 651 is 12991772640.

2. How to calculate the LCM of 748, 986, 992, 115, 651?

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 748, 986, 992, 115, 651.

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}.