Given numbers are 490,643,564

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

The LCM of 490,643,564 is 88849740.

Find LCM of 490,643,564 with Prime Factorization

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

2 x 245 x 643 x 282 = 88849740

Therefore, the lowest common multiple of 490,643,564 is 88849740.

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.

490 x 643 x 564 = 177699480

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

643 : 1, 643

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,643,564, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

643:643

564:2x 2x 3x 47

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

2 = 2

Therefore, the value for common factors is 2.

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 = 177699480/(1x2)

LCM = 177699480/2

LCM = 88849740

Thus, we can understand that the LCM of 490,643,564 is 88849740.

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

• LCM of 665, 898, 646
• LCM of 688, 267, 241
• LCM of 376, 961, 962
• LCM of 508, 273, 996
• LCM of 778, 332, 803

1. What is the LCM of 490, 643, 564?

Answer: LCM of 490, 643, 564 is 88849740.

2. How to calculate the LCM of 490, 643, 564?

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 490, 643, 564.

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}.