Given numbers are 610,274,146,272

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

The LCM of 610,274,146,272 is 829682960.

Find LCM of 610,274,146,272 with Prime Factorization

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

2 x 305 x 137 x 73 x 136 = 829682960

Therefore, the lowest common multiple of 610,274,146,272 is 829682960.

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.

610 x 274 x 146 x 272 = 6637463680

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

274 : 1, 2, 137, 274

146 : 1, 2, 73, 146

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,274,146,272, is 2.

Now, the common factors can be found like this.

610:2x 5x 61

274:2x 137

146:2x 73

272:2x 2x 2x 2x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6637463680/(2x4)

LCM = 6637463680/8

LCM = 829682960

Thus, we can understand that the LCM of 610,274,146,272 is 829682960.

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

• LCM of 695, 132, 362, 556
• LCM of 838, 794, 446, 993
• LCM of 897, 366, 572, 136
• LCM of 418, 784, 832, 598
• LCM of 999, 294, 751, 214

1. What is the LCM of 610, 274, 146, 272?

Answer: LCM of 610, 274, 146, 272 is 829682960.

2. How to calculate the LCM of 610, 274, 146, 272?

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 610, 274, 146, 272.

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}.