Given numbers are 498,702,473,577,644

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

The LCM of 498,702,473,577,644 is 5120448825492.

Find LCM of 498,702,473,577,644 with Prime Factorization

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

2 x 3 x 83 x 117 x 473 x 577 x 322 = 5120448825492

Therefore, the lowest common multiple of 498,702,473,577,644 is 5120448825492.

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.

498 x 702 x 473 x 577 x 644 = 61445385905904

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

473 : 1, 11, 43, 473

577 : 1, 577

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,702,473,577,644, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

702:2x 3x 3x 3x 13

473:11x 43

577:577

644:2x 2x 7x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 61445385905904/(1x12)

LCM = 61445385905904/12

LCM = 5120448825492

Thus, we can understand that the LCM of 498,702,473,577,644 is 5120448825492.

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

• LCM of 436, 753, 256, 149, 188
• LCM of 213, 852, 283, 834, 739
• LCM of 642, 631, 869, 948, 648
• LCM of 563, 899, 215, 785, 319
• LCM of 777, 735, 960, 765, 630

1. What is the LCM of 498, 702, 473, 577, 644?

Answer: LCM of 498, 702, 473, 577, 644 is 5120448825492.

2. How to calculate the LCM of 498, 702, 473, 577, 644?

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 498, 702, 473, 577, 644.

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}.