Given numbers are 107,306,689,520,575

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

The LCM of 107,306,689,520,575 is 51886247400.

Find LCM of 107,306,689,520,575 with Prime Factorization

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

2 x 5 x 13 x 107 x 153 x 53 x 4 x 115 = 51886247400

Therefore, the lowest common multiple of 107,306,689,520,575 is 51886247400.

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.

107 x 306 x 689 x 520 x 575 = 6745212162000

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.

107 : 1, 107

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

689 : 1, 13, 53, 689

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

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,306,689,520,575, is 1.

Now, the common factors can be found like this.

107:107

306:2x 3x 3x 17

689:13x 53

520:2x 2x 2x 5x 13

575:5x 5x 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 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 6745212162000/(1x130)

LCM = 6745212162000/130

LCM = 51886247400

Thus, we can understand that the LCM of 107,306,689,520,575 is 51886247400.

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

• LCM of 770, 942, 816, 139, 375
• LCM of 629, 932, 188, 118, 809
• LCM of 906, 401, 606, 999, 692
• LCM of 778, 800, 811, 677, 141
• LCM of 275, 850, 649, 459, 523

1. What is the LCM of 107, 306, 689, 520, 575?

Answer: LCM of 107, 306, 689, 520, 575 is 51886247400.

2. How to calculate the LCM of 107, 306, 689, 520, 575?

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 107, 306, 689, 520, 575.

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}.