Given numbers are 520,523,750,728,351

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

The LCM of 520,523,750,728,351 is 1285011000.

Find LCM of 520,523,750,728,351 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 1 x 523 x 25 x 7 x 9 = 1285011000

Therefore, the lowest common multiple of 520,523,750,728,351 is 1285011000.

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.

520 x 523 x 750 x 728 x 351 = 52120046160000

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.

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

523 : 1, 523

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,523,750,728,351, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

523:523

750:2x 3x 5x 5x 5

728:2x 2x 2x 7x 13

351:3x 3x 3x 13

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 3x 5x 13x 13 = 40560

Therefore, the value for common factors is 40560.

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 = 52120046160000/(1x40560)

LCM = 52120046160000/40560

LCM = 1285011000

Thus, we can understand that the LCM of 520,523,750,728,351 is 1285011000.

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

• LCM of 128, 386, 591, 714, 907
• LCM of 825, 480, 267, 516, 561
• LCM of 773, 141, 927, 564, 616
• LCM of 532, 355, 330, 536, 145
• LCM of 764, 548, 315, 670, 826

1. What is the LCM of 520, 523, 750, 728, 351?

Answer: LCM of 520, 523, 750, 728, 351 is 1285011000.

2. How to calculate the LCM of 520, 523, 750, 728, 351?

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 520, 523, 750, 728, 351.

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}.