Given numbers are 748,520,560,668,539

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

The LCM of 748,520,560,668,539 is 1591429840.

Find LCM of 748,520,560,668,539 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 11 x 17 x 13 x 2 x 167 x 7 = 1591429840

Therefore, the lowest common multiple of 748,520,560,668,539 is 1591429840.

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.

748 x 520 x 560 x 668 x 539 = 78425662515200

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.

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

668 : 1, 2, 4, 167, 334, 668

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,520,560,668,539, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

520:2x 2x 2x 5x 13

560:2x 2x 2x 2x 5x 7

668:2x 2x 167

539:7x 7x 11

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 2x 2x 5x 7x 11 = 49280

Therefore, the value for common factors is 49280.

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 = 78425662515200/(1x49280)

LCM = 78425662515200/49280

LCM = 1591429840

Thus, we can understand that the LCM of 748,520,560,668,539 is 1591429840.

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

• LCM of 435, 640, 591, 946, 231
• LCM of 105, 958, 346, 414, 226
• LCM of 738, 556, 832, 532, 184
• LCM of 690, 382, 181, 984, 119
• LCM of 445, 614, 162, 250, 752

1. What is the LCM of 748, 520, 560, 668, 539?

Answer: LCM of 748, 520, 560, 668, 539 is 1591429840.

2. How to calculate the LCM of 748, 520, 560, 668, 539?

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 748, 520, 560, 668, 539.

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}.