Given numbers are 878,720,749,214

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

The LCM of 878,720,749,214 is 236743920.

Find LCM of 878,720,749,214 with Prime Factorization

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

2 x 107 x 439 x 360 x 7 x 1 = 236743920

Therefore, the lowest common multiple of 878,720,749,214 is 236743920.

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.

878 x 720 x 749 x 214 = 101326397760

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.

878 : 1, 2, 439, 878

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

749 : 1, 7, 107, 749

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,720,749,214, is 1.

Now, the common factors can be found like this.

878:2x 439

720:2x 2x 2x 2x 3x 3x 5

749:7x 107

214:2x 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 107 = 428

Therefore, the value for common factors is 428.

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 = 101326397760/(1x428)

LCM = 101326397760/428

LCM = 236743920

Thus, we can understand that the LCM of 878,720,749,214 is 236743920.

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

• LCM of 159, 645, 537, 657
• LCM of 373, 348, 391, 461
• LCM of 359, 917, 727, 120
• LCM of 861, 662, 300, 504
• LCM of 304, 463, 424, 885

1. What is the LCM of 878, 720, 749, 214?

Answer: LCM of 878, 720, 749, 214 is 236743920.

2. How to calculate the LCM of 878, 720, 749, 214?

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 878, 720, 749, 214.

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}.