Given numbers are 644,450,498,714,553

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

The LCM of 644,450,498,714,553 is 16151858100.

Find LCM of 644,450,498,714,553 with Prime Factorization

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

2 x 3 x 7 x 46 x 75 x 83 x 17 x 79 = 16151858100

Therefore, the lowest common multiple of 644,450,498,714,553 is 16151858100.

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.

644 x 450 x 498 x 714 x 553 = 56983755376800

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.

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

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,450,498,714,553, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

450:2x 3x 3x 5x 5

498:2x 3x 83

714:2x 3x 7x 17

553:7x 79

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 2x 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 56983755376800/(1x3528)

LCM = 56983755376800/3528

LCM = 16151858100

Thus, we can understand that the LCM of 644,450,498,714,553 is 16151858100.

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

• LCM of 522, 367, 145, 167, 403
• LCM of 118, 290, 913, 760, 859
• LCM of 280, 717, 478, 989, 753
• LCM of 679, 241, 841, 266, 950
• LCM of 621, 958, 185, 488, 437

1. What is the LCM of 644, 450, 498, 714, 553?

Answer: LCM of 644, 450, 498, 714, 553 is 16151858100.

2. How to calculate the LCM of 644, 450, 498, 714, 553?

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 644, 450, 498, 714, 553.

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}.