Given numbers are 705,47,621

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

The LCM of 705,47,621 is 145935.

Find LCM of 705,47,621 with Prime Factorization

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

3 x 47 x 5 x 1 x 207 = 145935

Therefore, the lowest common multiple of 705,47,621 is 145935.

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 47 x 621 = 20576835

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

47 : 1, 47

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,47,621, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

47:47

621:3x 3x 3x 23

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 = 20576835/(1x141)

LCM = 20576835/141

LCM = 145935

Thus, we can understand that the LCM of 705,47,621 is 145935.

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

• LCM of 980, 19, 465
• LCM of 603, 98, 767
• LCM of 999, 14, 736
• LCM of 857, 74, 844
• LCM of 732, 88, 149

1. What is the LCM of 705, 47, 621?

Answer: LCM of 705, 47, 621 is 145935.

2. How to calculate the LCM of 705, 47, 621?

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, 47, 621.

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}.