Given numbers are 706,772,414,299

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

The LCM of 706,772,414,299 is 733340556.

Find LCM of 706,772,414,299 with Prime Factorization

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

2 x 23 x 353 x 386 x 9 x 13 = 733340556

Therefore, the lowest common multiple of 706,772,414,299 is 733340556.

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.

706 x 772 x 414 x 299 = 67467331152

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.

706 : 1, 2, 353, 706

772 : 1, 2, 4, 193, 386, 772

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,772,414,299, is 1.

Now, the common factors can be found like this.

706:2x 353

772:2x 2x 193

414:2x 3x 3x 23

299:13x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 67467331152/(1x92)

LCM = 67467331152/92

LCM = 733340556

Thus, we can understand that the LCM of 706,772,414,299 is 733340556.

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

• LCM of 412, 923, 326, 976
• LCM of 856, 500, 885, 579
• LCM of 799, 476, 834, 864
• LCM of 568, 374, 430, 419
• LCM of 896, 469, 112, 373

1. What is the LCM of 706, 772, 414, 299?

Answer: LCM of 706, 772, 414, 299 is 733340556.

2. How to calculate the LCM of 706, 772, 414, 299?

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 706, 772, 414, 299.

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}.