Given numbers are 705,104,141,817

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

The LCM of 705,104,141,817 is 59902440.

Find LCM of 705,104,141,817 with Prime Factorization

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

3 x 47 x 5 x 104 x 1 x 817 = 59902440

Therefore, the lowest common multiple of 705,104,141,817 is 59902440.

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.

705 x 104 x 141 x 817 = 8446244040

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

104 : 1, 2, 4, 8, 13, 26, 52, 104

141 : 1, 3, 47, 141

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,104,141,817, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

104:2x 2x 2x 13

141:3x 47

817:19x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 47 = 141

Therefore, the value for common factors is 141.

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 = 8446244040/(1x141)

LCM = 8446244040/141

LCM = 59902440

Thus, we can understand that the LCM of 705,104,141,817 is 59902440.

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

• LCM of 206, 187, 120, 926
• LCM of 490, 910, 929, 303
• LCM of 376, 938, 796, 907
• LCM of 905, 705, 870, 468
• LCM of 525, 748, 730, 165

1. What is the LCM of 705, 104, 141, 817?

Answer: LCM of 705, 104, 141, 817 is 59902440.

2. How to calculate the LCM of 705, 104, 141, 817?

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 705, 104, 141, 817.

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}.