Given numbers are 705,516,407

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

The LCM of 705,516,407 is 49352820.

Find LCM of 705,516,407 with Prime Factorization

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

3 x 235 x 172 x 407 = 49352820

Therefore, the lowest common multiple of 705,516,407 is 49352820.

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 516 x 407 = 148058460

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,516,407, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

516:2x 2x 3x 43

407:11x 37

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

3 = 3

Therefore, the value for common factors is 3.

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 = 148058460/(1x3)

LCM = 148058460/3

LCM = 49352820

Thus, we can understand that the LCM of 705,516,407 is 49352820.

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

• LCM of 955, 531, 117
• LCM of 865, 905, 180
• LCM of 566, 114, 232
• LCM of 956, 741, 720
• LCM of 233, 825, 141

1. What is the LCM of 705, 516, 407?

Answer: LCM of 705, 516, 407 is 49352820.

2. How to calculate the LCM of 705, 516, 407?

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, 516, 407.

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}.