Given numbers are 721,750,876,894,374

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

The LCM of 721,750,876,894,374 is 2199769918500.

Find LCM of 721,750,876,894,374 with Prime Factorization

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

2 x 3 x 721 x 125 x 146 x 149 x 187 = 2199769918500

Therefore, the lowest common multiple of 721,750,876,894,374 is 2199769918500.

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.

721 x 750 x 876 x 894 x 374 = 158383434132000

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.

721 : 1, 7, 103, 721

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

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

894 : 1, 2, 3, 6, 149, 298, 447, 894

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,750,876,894,374, is 1.

Now, the common factors can be found like this.

721:7x 103

750:2x 3x 5x 5x 5

876:2x 2x 3x 73

894:2x 3x 149

374:2x 11x 17

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 158383434132000/(1x72)

LCM = 158383434132000/72

LCM = 2199769918500

Thus, we can understand that the LCM of 721,750,876,894,374 is 2199769918500.

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

• LCM of 429, 857, 853, 262, 304
• LCM of 100, 284, 472, 925, 979
• LCM of 643, 303, 606, 701, 121
• LCM of 672, 496, 713, 156, 213
• LCM of 157, 909, 631, 607, 214

1. What is the LCM of 721, 750, 876, 894, 374?

Answer: LCM of 721, 750, 876, 894, 374 is 2199769918500.

2. How to calculate the LCM of 721, 750, 876, 894, 374?

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 721, 750, 876, 894, 374.

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}.