Given numbers are 514,820,706

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

The LCM of 514,820,706 is 74391220.

Find LCM of 514,820,706 with Prime Factorization

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

2 x 257 x 410 x 353 = 74391220

Therefore, the lowest common multiple of 514,820,706 is 74391220.

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.

514 x 820 x 706 = 297564880

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.

514 : 1, 2, 257, 514

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,820,706, is 2.

Now, the common factors can be found like this.

514:2x 257

820:2x 2x 5x 41

706:2x 353

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

2 = 2

Therefore, the value for common factors is 2.

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 = 297564880/(2x2)

LCM = 297564880/4

LCM = 74391220

Thus, we can understand that the LCM of 514,820,706 is 74391220.

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

• LCM of 457, 839, 884
• LCM of 116, 443, 563
• LCM of 957, 724, 975
• LCM of 400, 317, 416
• LCM of 871, 627, 656

1. What is the LCM of 514, 820, 706?

Answer: LCM of 514, 820, 706 is 74391220.

2. How to calculate the LCM of 514, 820, 706?

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 514, 820, 706.

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}.