Given numbers are 224,540,604,689

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

The LCM of 224,540,604,689 is 3146139360.

Find LCM of 224,540,604,689 with Prime Factorization

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

2 x 2 x 56 x 135 x 151 x 689 = 3146139360

Therefore, the lowest common multiple of 224,540,604,689 is 3146139360.

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.

224 x 540 x 604 x 689 = 50338229760

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

604 : 1, 2, 4, 151, 302, 604

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,540,604,689, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

540:2x 2x 3x 3x 3x 5

604:2x 2x 151

689:13x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 50338229760/(1x16)

LCM = 50338229760/16

LCM = 3146139360

Thus, we can understand that the LCM of 224,540,604,689 is 3146139360.

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

• LCM of 517, 344, 991, 896
• LCM of 127, 935, 682, 491
• LCM of 256, 955, 870, 381
• LCM of 768, 981, 557, 692
• LCM of 444, 802, 532, 470

1. What is the LCM of 224, 540, 604, 689?

Answer: LCM of 224, 540, 604, 689 is 3146139360.

2. How to calculate the LCM of 224, 540, 604, 689?

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 224, 540, 604, 689.

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}.