Given numbers are 416,745,744,392

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

The LCM of 416,745,744,392 is 1412305440.

Find LCM of 416,745,744,392 with Prime Factorization

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

2 x 2 x 2 x 52 x 745 x 93 x 49 = 1412305440

Therefore, the lowest common multiple of 416,745,744,392 is 1412305440.

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 745 x 744 x 392 = 90387548160

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

745 : 1, 5, 149, 745

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,745,744,392, is 1.

Now, the common factors can be found like this.

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

745:5x 149

744:2x 2x 2x 3x 31

392:2x 2x 2x 7x 7

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 2 = 64

Therefore, the value for common factors is 64.

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 = 90387548160/(1x64)

LCM = 90387548160/64

LCM = 1412305440

Thus, we can understand that the LCM of 416,745,744,392 is 1412305440.

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

• LCM of 380, 766, 500, 885
• LCM of 848, 303, 151, 493
• LCM of 518, 561, 899, 693
• LCM of 563, 427, 570, 606
• LCM of 320, 657, 984, 817

1. What is the LCM of 416, 745, 744, 392?

Answer: LCM of 416, 745, 744, 392 is 1412305440.

2. How to calculate the LCM of 416, 745, 744, 392?

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, 745, 744, 392.

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}.