Given numbers are 759,115,900,213,488

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

The LCM of 759,115,900,213,488 is 1972337400.

Find LCM of 759,115,900,213,488 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 11 x 1 x 15 x 71 x 122 = 1972337400

Therefore, the lowest common multiple of 759,115,900,213,488 is 1972337400.

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.

759 x 115 x 900 x 213 x 488 = 8165476836000

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

115 : 1, 5, 23, 115

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

213 : 1, 3, 71, 213

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,115,900,213,488, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

115:5x 23

900:2x 2x 3x 3x 5x 5

213:3x 71

488:2x 2x 2x 61

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 3x 3x 5x 23 = 4140

Therefore, the value for common factors is 4140.

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 = 8165476836000/(1x4140)

LCM = 8165476836000/4140

LCM = 1972337400

Thus, we can understand that the LCM of 759,115,900,213,488 is 1972337400.

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

• LCM of 383, 556, 795, 601, 738
• LCM of 317, 397, 542, 883, 966
• LCM of 839, 922, 877, 801, 845
• LCM of 436, 475, 563, 147, 200
• LCM of 106, 263, 100, 827, 546

1. What is the LCM of 759, 115, 900, 213, 488?

Answer: LCM of 759, 115, 900, 213, 488 is 1972337400.

2. How to calculate the LCM of 759, 115, 900, 213, 488?

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 759, 115, 900, 213, 488.

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}.