Given numbers are 900,383,713,760

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

The LCM of 900,383,713,760 is 9339301800.

Find LCM of 900,383,713,760 with Prime Factorization

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

2 x 2 x 5 x 45 x 383 x 713 x 38 = 9339301800

Therefore, the lowest common multiple of 900,383,713,760 is 9339301800.

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.

900 x 383 x 713 x 760 = 186786036000

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

383 : 1, 383

713 : 1, 23, 31, 713

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,383,713,760, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

383:383

713:23x 31

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 5 = 20

Therefore, the value for common factors is 20.

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 = 186786036000/(1x20)

LCM = 186786036000/20

LCM = 9339301800

Thus, we can understand that the LCM of 900,383,713,760 is 9339301800.

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

• LCM of 826, 938, 806, 664
• LCM of 929, 876, 454, 481
• LCM of 604, 118, 270, 438
• LCM of 507, 200, 586, 673
• LCM of 976, 707, 987, 816

1. What is the LCM of 900, 383, 713, 760?

Answer: LCM of 900, 383, 713, 760 is 9339301800.

2. How to calculate the LCM of 900, 383, 713, 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 900, 383, 713, 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}.