Given numbers are 600,461,247,213,761

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

The LCM of 600,461,247,213,761 is 3691408726200.

Find LCM of 600,461,247,213,761 with Prime Factorization

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

3 x 200 x 461 x 247 x 71 x 761 = 3691408726200

Therefore, the lowest common multiple of 600,461,247,213,761 is 3691408726200.

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.

600 x 461 x 247 x 213 x 761 = 11074226178600

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

461 : 1, 461

247 : 1, 13, 19, 247

213 : 1, 3, 71, 213

761 : 1, 761

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,461,247,213,761, is 1.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

461:461

247:13x 19

213:3x 71

761:761

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 11074226178600/(1x3)

LCM = 11074226178600/3

LCM = 3691408726200

Thus, we can understand that the LCM of 600,461,247,213,761 is 3691408726200.

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

• LCM of 661, 440, 492, 786, 566
• LCM of 900, 133, 777, 401, 180
• LCM of 400, 616, 713, 869, 479
• LCM of 540, 293, 809, 108, 759
• LCM of 735, 156, 413, 564, 111

1. What is the LCM of 600, 461, 247, 213, 761?

Answer: LCM of 600, 461, 247, 213, 761 is 3691408726200.

2. How to calculate the LCM of 600, 461, 247, 213, 761?

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 600, 461, 247, 213, 761.

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}.