Given numbers are 463,322,416,461

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

The LCM of 463,322,416,461 is 14295558368.

Find LCM of 463,322,416,461 with Prime Factorization

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

2 x 463 x 161 x 208 x 461 = 14295558368

Therefore, the lowest common multiple of 463,322,416,461 is 14295558368.

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.

463 x 322 x 416 x 461 = 28591116736

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.

463 : 1, 463

322 : 1, 2, 7, 14, 23, 46, 161, 322

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,322,416,461, is 1.

Now, the common factors can be found like this.

463:463

322:2x 7x 23

416:2x 2x 2x 2x 2x 13

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 28591116736/(1x2)

LCM = 28591116736/2

LCM = 14295558368

Thus, we can understand that the LCM of 463,322,416,461 is 14295558368.

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

• LCM of 849, 238, 426, 223
• LCM of 956, 647, 757, 222
• LCM of 278, 338, 932, 175
• LCM of 747, 364, 332, 529
• LCM of 233, 795, 372, 154

1. What is the LCM of 463, 322, 416, 461?

Answer: LCM of 463, 322, 416, 461 is 14295558368.

2. How to calculate the LCM of 463, 322, 416, 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 463, 322, 416, 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}.