Given numbers are 750,780,321,107

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

The LCM of 750,780,321,107 is 2086500.

Find LCM of 750,780,321,107 with Prime Factorization

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

2 x 3 x 5 x 107 x 25 x 26 x 1 x 1 = 2086500

Therefore, the lowest common multiple of 750,780,321,107 is 2086500.

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 780 x 321 x 107 = 20092995000

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

321 : 1, 3, 107, 321

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,780,321,107, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

780:2x 2x 3x 5x 13

321:3x 107

107:107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 107 = 9630

Therefore, the value for common factors is 9630.

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 = 20092995000/(1x9630)

LCM = 20092995000/9630

LCM = 2086500

Thus, we can understand that the LCM of 750,780,321,107 is 2086500.

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

• LCM of 682, 462, 480, 812
• LCM of 946, 415, 157, 847
• LCM of 799, 966, 608, 874
• LCM of 405, 312, 347, 118
• LCM of 593, 864, 418, 846

1. What is the LCM of 750, 780, 321, 107?

Answer: LCM of 750, 780, 321, 107 is 2086500.

2. How to calculate the LCM of 750, 780, 321, 107?

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, 780, 321, 107.

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}.