Given numbers are 470,496,292,419

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

The LCM of 470,496,292,419 is 3565220720.

Find LCM of 470,496,292,419 with Prime Factorization

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

2 x 2 x 235 x 124 x 73 x 419 = 3565220720

Therefore, the lowest common multiple of 470,496,292,419 is 3565220720.

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 496 x 292 x 419 = 28521765760

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

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

292 : 1, 2, 4, 73, 146, 292

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,496,292,419, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

496:2x 2x 2x 2x 31

292:2x 2x 73

419:419

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 2 = 8

Therefore, the value for common factors is 8.

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 = 28521765760/(1x8)

LCM = 28521765760/8

LCM = 3565220720

Thus, we can understand that the LCM of 470,496,292,419 is 3565220720.

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

• LCM of 451, 916, 410, 425
• LCM of 250, 636, 107, 973
• LCM of 917, 223, 294, 150
• LCM of 879, 529, 962, 590
• LCM of 193, 185, 471, 550

1. What is the LCM of 470, 496, 292, 419?

Answer: LCM of 470, 496, 292, 419 is 3565220720.

2. How to calculate the LCM of 470, 496, 292, 419?

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, 496, 292, 419.

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}.