Given numbers are 720,701,249,417,948

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

The LCM of 720,701,249,417,948 is 460013416560.

Find LCM of 720,701,249,417,948 with Prime Factorization

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

2 x 2 x 3 x 60 x 701 x 83 x 139 x 79 = 460013416560

Therefore, the lowest common multiple of 720,701,249,417,948 is 460013416560.

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.

720 x 701 x 249 x 417 x 948 = 49681448988480

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.

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

701 : 1, 701

249 : 1, 3, 83, 249

417 : 1, 3, 139, 417

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,701,249,417,948, is 1.

Now, the common factors can be found like this.

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

701:701

249:3x 83

417:3x 139

948:2x 2x 3x 79

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 49681448988480/(1x108)

LCM = 49681448988480/108

LCM = 460013416560

Thus, we can understand that the LCM of 720,701,249,417,948 is 460013416560.

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

• LCM of 865, 886, 324, 122, 372
• LCM of 370, 161, 876, 137, 635
• LCM of 225, 331, 712, 236, 208
• LCM of 258, 383, 505, 199, 564
• LCM of 651, 117, 565, 433, 696

1. What is the LCM of 720, 701, 249, 417, 948?

Answer: LCM of 720, 701, 249, 417, 948 is 460013416560.

2. How to calculate the LCM of 720, 701, 249, 417, 948?

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 720, 701, 249, 417, 948.

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}.