Given numbers are 416,428,754

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

The LCM of 416,428,754 is 1290848.

Find LCM of 416,428,754 with Prime Factorization

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

2 x 2 x 13 x 8 x 107 x 29 = 1290848

Therefore, the lowest common multiple of 416,428,754 is 1290848.

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 428 x 754 = 134248192

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

428 : 1, 2, 4, 107, 214, 428

754 : 1, 2, 13, 26, 29, 58, 377, 754

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,428,754, is 2.

Now, the common factors can be found like this.

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

428:2x 2x 107

754:2x 13x 29

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 13 = 52

Therefore, the value for common factors is 52.

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 = 134248192/(2x52)

LCM = 134248192/104

LCM = 1290848

Thus, we can understand that the LCM of 416,428,754 is 1290848.

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

• LCM of 205, 327, 913
• LCM of 736, 854, 113
• LCM of 336, 960, 521
• LCM of 597, 732, 522
• LCM of 880, 248, 727

1. What is the LCM of 416, 428, 754?

Answer: LCM of 416, 428, 754 is 1290848.

2. How to calculate the LCM of 416, 428, 754?

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, 428, 754.

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}.