Given numbers are 584,440,758,420

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

The LCM of 584,440,758,420 is 255643080.

Find LCM of 584,440,758,420 with Prime Factorization

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

2 x 2 x 2 x 5 x 73 x 11 x 379 x 21 = 255643080

Therefore, the lowest common multiple of 584,440,758,420 is 255643080.

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.

584 x 440 x 758 x 420 = 81805785600

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

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

758 : 1, 2, 379, 758

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,440,758,420, is 2.

Now, the common factors can be found like this.

584:2x 2x 2x 73

440:2x 2x 2x 5x 11

758:2x 379

420:2x 2x 3x 5x 7

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 5 = 160

Therefore, the value for common factors is 160.

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 = 81805785600/(2x160)

LCM = 81805785600/320

LCM = 255643080

Thus, we can understand that the LCM of 584,440,758,420 is 255643080.

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

• LCM of 303, 884, 426, 913
• LCM of 178, 457, 675, 490
• LCM of 562, 914, 295, 153
• LCM of 332, 227, 984, 115
• LCM of 171, 325, 666, 118

1. What is the LCM of 584, 440, 758, 420?

Answer: LCM of 584, 440, 758, 420 is 255643080.

2. How to calculate the LCM of 584, 440, 758, 420?

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 584, 440, 758, 420.

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}.