Given numbers are 523,612,748,744,698

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

The LCM of 523,612,748,744,698 is 76183849368.

Find LCM of 523,612,748,744,698 with Prime Factorization

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

2 x 2 x 3 x 17 x 523 x 3 x 11 x 62 x 349 = 76183849368

Therefore, the lowest common multiple of 523,612,748,744,698 is 76183849368.

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.

523 x 612 x 748 x 744 x 698 = 124332042168576

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.

523 : 1, 523

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,612,748,744,698, is 1.

Now, the common factors can be found like this.

523:523

612:2x 2x 3x 3x 17

748:2x 2x 11x 17

744:2x 2x 2x 3x 31

698:2x 349

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 2x 2x 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 124332042168576/(1x1632)

LCM = 124332042168576/1632

LCM = 76183849368

Thus, we can understand that the LCM of 523,612,748,744,698 is 76183849368.

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

• LCM of 453, 114, 493, 107, 433
• LCM of 604, 125, 551, 175, 189
• LCM of 969, 288, 277, 985, 157
• LCM of 829, 601, 659, 279, 207
• LCM of 444, 817, 875, 520, 806

1. What is the LCM of 523, 612, 748, 744, 698?

Answer: LCM of 523, 612, 748, 744, 698 is 76183849368.

2. How to calculate the LCM of 523, 612, 748, 744, 698?

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 523, 612, 748, 744, 698.

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}.