Given numbers are 750,920,849,149

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

The LCM of 750,920,849,149 is 2909523000.

Find LCM of 750,920,849,149 with Prime Factorization

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

2 x 3 x 5 x 25 x 92 x 283 x 149 = 2909523000

Therefore, the lowest common multiple of 750,920,849,149 is 2909523000.

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 920 x 849 x 149 = 87285690000

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

849 : 1, 3, 283, 849

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,920,849,149, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

920:2x 2x 2x 5x 23

849:3x 283

149:149

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 5 = 30

Therefore, the value for common factors is 30.

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 = 87285690000/(1x30)

LCM = 87285690000/30

LCM = 2909523000

Thus, we can understand that the LCM of 750,920,849,149 is 2909523000.

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

• LCM of 519, 603, 101, 169
• LCM of 259, 754, 461, 554
• LCM of 664, 931, 660, 222
• LCM of 478, 423, 554, 363
• LCM of 730, 446, 850, 833

1. What is the LCM of 750, 920, 849, 149?

Answer: LCM of 750, 920, 849, 149 is 2909523000.

2. How to calculate the LCM of 750, 920, 849, 149?

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, 920, 849, 149.

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}.