Given numbers are 506,735,226,452

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

The LCM of 506,735,226,452 is 84051660.

Find LCM of 506,735,226,452 with Prime Factorization

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

2 x 113 x 253 x 735 x 1 x 2 = 84051660

Therefore, the lowest common multiple of 506,735,226,452 is 84051660.

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.

506 x 735 x 226 x 452 = 37991350320

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

226 : 1, 2, 113, 226

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,735,226,452, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

735:3x 5x 7x 7

226:2x 113

452:2x 2x 113

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 113 = 452

Therefore, the value for common factors is 452.

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 = 37991350320/(1x452)

LCM = 37991350320/452

LCM = 84051660

Thus, we can understand that the LCM of 506,735,226,452 is 84051660.

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

• LCM of 470, 113, 685, 816
• LCM of 537, 460, 113, 385
• LCM of 339, 851, 348, 485
• LCM of 529, 285, 975, 103
• LCM of 377, 858, 499, 765

1. What is the LCM of 506, 735, 226, 452?

Answer: LCM of 506, 735, 226, 452 is 84051660.

2. How to calculate the LCM of 506, 735, 226, 452?

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 506, 735, 226, 452.

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}.