Given numbers are 900,185,940,979,614

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

The LCM of 900,185,940,979,614 is 470395500300.

Find LCM of 900,185,940,979,614 with Prime Factorization

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

2 x 2 x 5 x 45 x 37 x 47 x 979 x 307 = 470395500300

Therefore, the lowest common multiple of 900,185,940,979,614 is 470395500300.

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 185 x 940 x 979 x 614 = 94079100060000

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

185 : 1, 5, 37, 185

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

979 : 1, 11, 89, 979

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,185,940,979,614, is 1.

Now, the common factors can be found like this.

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

185:5x 37

940:2x 2x 5x 47

979:11x 89

614:2x 307

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 94079100060000/(1x200)

LCM = 94079100060000/200

LCM = 470395500300

Thus, we can understand that the LCM of 900,185,940,979,614 is 470395500300.

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

• LCM of 608, 478, 162, 787, 961
• LCM of 796, 123, 905, 561, 658
• LCM of 704, 637, 968, 725, 111
• LCM of 567, 147, 902, 505, 451
• LCM of 197, 594, 902, 612, 311

1. What is the LCM of 900, 185, 940, 979, 614?

Answer: LCM of 900, 185, 940, 979, 614 is 470395500300.

2. How to calculate the LCM of 900, 185, 940, 979, 614?

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, 185, 940, 979, 614.

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}.