Given numbers are 468,566,760,118,760

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

The LCM of 468,566,760,118,760 is 1484697240.

Find LCM of 468,566,760,118,760 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 117 x 283 x 1 x 59 x 1 = 1484697240

Therefore, the lowest common multiple of 468,566,760,118,760 is 1484697240.

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.

468 x 566 x 760 x 118 x 760 = 18053918438400

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

566 : 1, 2, 283, 566

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

118 : 1, 2, 59, 118

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,566,760,118,760, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

566:2x 283

760:2x 2x 2x 5x 19

118:2x 59

760:2x 2x 2x 5x 19

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 2x 2x 5x 19 = 6080

Therefore, the value for common factors is 6080.

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 = 18053918438400/(2x6080)

LCM = 18053918438400/12160

LCM = 1484697240

Thus, we can understand that the LCM of 468,566,760,118,760 is 1484697240.

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

• LCM of 457, 188, 762, 507, 725
• LCM of 404, 493, 938, 832, 234
• LCM of 357, 230, 899, 397, 100
• LCM of 187, 371, 579, 340, 417
• LCM of 942, 600, 503, 804, 473

1. What is the LCM of 468, 566, 760, 118, 760?

Answer: LCM of 468, 566, 760, 118, 760 is 1484697240.

2. How to calculate the LCM of 468, 566, 760, 118, 760?

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 468, 566, 760, 118, 760.

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}.