Given numbers are 864,740,754,102,941

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

The LCM of 864,740,754,102,941 is 963974100960.

Find LCM of 864,740,754,102,941 with Prime Factorization

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

2 x 2 x 3 x 72 x 185 x 377 x 17 x 941 = 963974100960

Therefore, the lowest common multiple of 864,740,754,102,941 is 963974100960.

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.

864 x 740 x 754 x 102 x 941 = 46270756846080

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

754 : 1, 2, 13, 26, 29, 58, 377, 754

102 : 1, 2, 3, 6, 17, 34, 51, 102

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,740,754,102,941, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

740:2x 2x 5x 37

754:2x 13x 29

102:2x 3x 17

941:941

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 3 = 48

Therefore, the value for common factors is 48.

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 = 46270756846080/(1x48)

LCM = 46270756846080/48

LCM = 963974100960

Thus, we can understand that the LCM of 864,740,754,102,941 is 963974100960.

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

• LCM of 312, 142, 264, 554, 813
• LCM of 137, 493, 253, 942, 546
• LCM of 262, 610, 601, 812, 412
• LCM of 895, 938, 186, 541, 500
• LCM of 823, 308, 973, 577, 843

1. What is the LCM of 864, 740, 754, 102, 941?

Answer: LCM of 864, 740, 754, 102, 941 is 963974100960.

2. How to calculate the LCM of 864, 740, 754, 102, 941?

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 864, 740, 754, 102, 941.

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}.