Given numbers are 460,744,437,828

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

The LCM of 460,744,437,828 is 4876920.

Find LCM of 460,744,437,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 5 x 62 x 19 x 3 = 4876920

Therefore, the lowest common multiple of 460,744,437,828 is 4876920.

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.

460 x 744 x 437 x 828 = 123834752640

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

437 : 1, 19, 23, 437

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,744,437,828, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

744:2x 2x 2x 3x 31

437:19x 23

828:2x 2x 3x 3x 23

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 3x 23x 23 = 25392

Therefore, the value for common factors is 25392.

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 = 123834752640/(1x25392)

LCM = 123834752640/25392

LCM = 4876920

Thus, we can understand that the LCM of 460,744,437,828 is 4876920.

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

• LCM of 264, 280, 723, 515
• LCM of 140, 986, 735, 552
• LCM of 865, 157, 774, 642
• LCM of 747, 142, 844, 751
• LCM of 746, 643, 554, 797

1. What is the LCM of 460, 744, 437, 828?

Answer: LCM of 460, 744, 437, 828 is 4876920.

2. How to calculate the LCM of 460, 744, 437, 828?

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 460, 744, 437, 828.

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}.