Given numbers are 750,246,706,628,107

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

The LCM of 750,246,706,628,107 is 364697890500.

Find LCM of 750,246,706,628,107 with Prime Factorization

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

2 x 3 x 125 x 41 x 353 x 314 x 107 = 364697890500

Therefore, the lowest common multiple of 750,246,706,628,107 is 364697890500.

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 246 x 706 x 628 x 107 = 8752749372000

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

246 : 1, 2, 3, 6, 41, 82, 123, 246

706 : 1, 2, 353, 706

628 : 1, 2, 4, 157, 314, 628

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,246,706,628,107, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

246:2x 3x 41

706:2x 353

628:2x 2x 157

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 8752749372000/(1x24)

LCM = 8752749372000/24

LCM = 364697890500

Thus, we can understand that the LCM of 750,246,706,628,107 is 364697890500.

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

• LCM of 945, 519, 621, 468, 893
• LCM of 712, 644, 590, 180, 452
• LCM of 862, 960, 721, 654, 216
• LCM of 518, 646, 407, 696, 971
• LCM of 843, 602, 868, 980, 283

1. What is the LCM of 750, 246, 706, 628, 107?

Answer: LCM of 750, 246, 706, 628, 107 is 364697890500.

2. How to calculate the LCM of 750, 246, 706, 628, 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, 246, 706, 628, 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}.