Given numbers are 470,146,219,461

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

The LCM of 470,146,219,461 is 47450730.

Find LCM of 470,146,219,461 with Prime Factorization

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

2 x 73 x 235 x 1 x 3 x 461 = 47450730

Therefore, the lowest common multiple of 470,146,219,461 is 47450730.

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.

470 x 146 x 219 x 461 = 6927806580

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

146 : 1, 2, 73, 146

219 : 1, 3, 73, 219

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,146,219,461, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

146:2x 73

219:3x 73

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 73 = 146

Therefore, the value for common factors is 146.

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 = 6927806580/(1x146)

LCM = 6927806580/146

LCM = 47450730

Thus, we can understand that the LCM of 470,146,219,461 is 47450730.

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

• LCM of 893, 510, 893, 163
• LCM of 751, 766, 499, 981
• LCM of 345, 357, 438, 316
• LCM of 274, 509, 533, 311
• LCM of 493, 668, 359, 624

1. What is the LCM of 470, 146, 219, 461?

Answer: LCM of 470, 146, 219, 461 is 47450730.

2. How to calculate the LCM of 470, 146, 219, 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 470, 146, 219, 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}.