Given numbers are 900,962,490,461

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

The LCM of 900,962,490,461 is 9778778100.

Find LCM of 900,962,490,461 with Prime Factorization

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

2 x 5 x 90 x 481 x 49 x 461 = 9778778100

Therefore, the lowest common multiple of 900,962,490,461 is 9778778100.

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 962 x 490 x 461 = 195575562000

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,962,490,461, is 1.

Now, the common factors can be found like this.

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

962:2x 13x 37

490:2x 5x 7x 7

461:461

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 = 195575562000/(1x20)

LCM = 195575562000/20

LCM = 9778778100

Thus, we can understand that the LCM of 900,962,490,461 is 9778778100.

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

• LCM of 337, 852, 380, 913
• LCM of 476, 517, 185, 460
• LCM of 765, 502, 628, 895
• LCM of 581, 571, 256, 609
• LCM of 194, 196, 515, 532

1. What is the LCM of 900, 962, 490, 461?

Answer: LCM of 900, 962, 490, 461 is 9778778100.

2. How to calculate the LCM of 900, 962, 490, 461?

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, 962, 490, 461.

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}.