Given numbers are 506,553,112,331

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

The LCM of 506,553,112,331 is 740958064.

Find LCM of 506,553,112,331 with Prime Factorization

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

2 x 7 x 253 x 79 x 8 x 331 = 740958064

Therefore, the lowest common multiple of 506,553,112,331 is 740958064.

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 553 x 112 x 331 = 10373412896

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

553 : 1, 7, 79, 553

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,553,112,331, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

553:7x 79

112:2x 2x 2x 2x 7

331:331

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 10373412896/(1x14)

LCM = 10373412896/14

LCM = 740958064

Thus, we can understand that the LCM of 506,553,112,331 is 740958064.

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

• LCM of 435, 122, 853, 924
• LCM of 419, 499, 432, 119
• LCM of 571, 664, 155, 852
• LCM of 451, 562, 853, 109
• LCM of 910, 261, 456, 196

1. What is the LCM of 506, 553, 112, 331?

Answer: LCM of 506, 553, 112, 331 is 740958064.

2. How to calculate the LCM of 506, 553, 112, 331?

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, 553, 112, 331.

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}.