Given numbers are 900,514,760,478

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

The LCM of 900,514,760,478 is 2100666600.

Find LCM of 900,514,760,478 with Prime Factorization

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

2 x 2 x 5 x 45 x 257 x 38 x 239 = 2100666600

Therefore, the lowest common multiple of 900,514,760,478 is 2100666600.

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 514 x 760 x 478 = 168053328000

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

514 : 1, 2, 257, 514

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

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,514,760,478, is 2.

Now, the common factors can be found like this.

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

514:2x 257

760:2x 2x 2x 5x 19

478:2x 239

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 5 = 40

Therefore, the value for common factors is 40.

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 = 168053328000/(2x40)

LCM = 168053328000/80

LCM = 2100666600

Thus, we can understand that the LCM of 900,514,760,478 is 2100666600.

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

• LCM of 434, 940, 468, 524
• LCM of 657, 340, 345, 976
• LCM of 439, 444, 881, 847
• LCM of 998, 469, 250, 238
• LCM of 971, 311, 529, 612

1. What is the LCM of 900, 514, 760, 478?

Answer: LCM of 900, 514, 760, 478 is 2100666600.

2. How to calculate the LCM of 900, 514, 760, 478?

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, 514, 760, 478.

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}.