Given numbers are 416,524,546,120

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

The LCM of 416,524,546,120 is 5722080.

Find LCM of 416,524,546,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 4 x 131 x 7 x 5 = 5722080

Therefore, the lowest common multiple of 416,524,546,120 is 5722080.

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.

416 x 524 x 546 x 120 = 14282311680

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.

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

524 : 1, 2, 4, 131, 262, 524

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,524,546,120, is 2.

Now, the common factors can be found like this.

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

524:2x 2x 131

546:2x 3x 7x 13

120:2x 2x 2x 3x 5

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 2x 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 14282311680/(2x1248)

LCM = 14282311680/2496

LCM = 5722080

Thus, we can understand that the LCM of 416,524,546,120 is 5722080.

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

• LCM of 263, 807, 812, 829
• LCM of 904, 614, 269, 476
• LCM of 605, 105, 779, 399
• LCM of 593, 934, 561, 239
• LCM of 945, 543, 149, 196

1. What is the LCM of 416, 524, 546, 120?

Answer: LCM of 416, 524, 546, 120 is 5722080.

2. How to calculate the LCM of 416, 524, 546, 120?

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 416, 524, 546, 120.

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}.