Given numbers are 750,596,730,488,701

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

The LCM of 750,596,730,488,701 is 1395334191000.

Find LCM of 750,596,730,488,701 with Prime Factorization

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

2 x 2 x 5 x 75 x 149 x 73 x 122 x 701 = 1395334191000

Therefore, the lowest common multiple of 750,596,730,488,701 is 1395334191000.

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.

750 x 596 x 730 x 488 x 701 = 111626735280000

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.

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

596 : 1, 2, 4, 149, 298, 596

730 : 1, 2, 5, 10, 73, 146, 365, 730

488 : 1, 2, 4, 8, 61, 122, 244, 488

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,596,730,488,701, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

596:2x 2x 149

730:2x 5x 73

488:2x 2x 2x 61

701:701

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 5 = 80

Therefore, the value for common factors is 80.

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 = 111626735280000/(1x80)

LCM = 111626735280000/80

LCM = 1395334191000

Thus, we can understand that the LCM of 750,596,730,488,701 is 1395334191000.

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

• LCM of 655, 262, 567, 192, 871
• LCM of 524, 250, 516, 732, 828
• LCM of 236, 831, 992, 562, 853
• LCM of 181, 440, 245, 632, 304
• LCM of 626, 144, 916, 477, 601

1. What is the LCM of 750, 596, 730, 488, 701?

Answer: LCM of 750, 596, 730, 488, 701 is 1395334191000.

2. How to calculate the LCM of 750, 596, 730, 488, 701?

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 750, 596, 730, 488, 701.

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}.