Given numbers are 624,750,321,122

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

The LCM of 624,750,321,122 is 509106000.

Find LCM of 624,750,321,122 with Prime Factorization

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

2 x 3 x 104 x 125 x 107 x 61 = 509106000

Therefore, the lowest common multiple of 624,750,321,122 is 509106000.

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.

624 x 750 x 321 x 122 = 18327816000

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

321 : 1, 3, 107, 321

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,750,321,122, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

750:2x 3x 5x 5x 5

321:3x 107

122:2x 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 3 = 36

Therefore, the value for common factors is 36.

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 = 18327816000/(1x36)

LCM = 18327816000/36

LCM = 509106000

Thus, we can understand that the LCM of 624,750,321,122 is 509106000.

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

• LCM of 907, 360, 654, 422
• LCM of 393, 766, 805, 726
• LCM of 688, 661, 994, 689
• LCM of 438, 550, 930, 209
• LCM of 263, 402, 446, 718

1. What is the LCM of 624, 750, 321, 122?

Answer: LCM of 624, 750, 321, 122 is 509106000.

2. How to calculate the LCM of 624, 750, 321, 122?

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 624, 750, 321, 122.

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}.