Given numbers are 749,507,594,880,420

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

The LCM of 749,507,594,880,420 is 3007564560.

Find LCM of 749,507,594,880,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 11 x 107 x 169 x 9 x 4 x 1 = 3007564560

Therefore, the lowest common multiple of 749,507,594,880,420 is 3007564560.

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.

749 x 507 x 594 x 880 x 420 = 83369689603200

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.

749 : 1, 7, 107, 749

507 : 1, 3, 13, 39, 169, 507

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,507,594,880,420, is 1.

Now, the common factors can be found like this.

749:7x 107

507:3x 13x 13

594:2x 3x 3x 3x 11

880:2x 2x 2x 2x 5x 11

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 3x 3x 5x 7x 11 = 27720

Therefore, the value for common factors is 27720.

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 = 83369689603200/(1x27720)

LCM = 83369689603200/27720

LCM = 3007564560

Thus, we can understand that the LCM of 749,507,594,880,420 is 3007564560.

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

• LCM of 351, 803, 137, 670, 401
• LCM of 733, 783, 769, 622, 766
• LCM of 756, 392, 281, 658, 388
• LCM of 518, 284, 759, 598, 665
• LCM of 112, 696, 952, 893, 830

1. What is the LCM of 749, 507, 594, 880, 420?

Answer: LCM of 749, 507, 594, 880, 420 is 3007564560.

2. How to calculate the LCM of 749, 507, 594, 880, 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 749, 507, 594, 880, 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}.