Given numbers are 706,506,526,365

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

The LCM of 706,506,526,365 is 17146434910.

Find LCM of 706,506,526,365 with Prime Factorization

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

2 x 353 x 253 x 263 x 365 = 17146434910

Therefore, the lowest common multiple of 706,506,526,365 is 17146434910.

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 506 x 526 x 365 = 68585739640

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

526 : 1, 2, 263, 526

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,506,526,365, is 1.

Now, the common factors can be found like this.

706:2x 353

506:2x 11x 23

526:2x 263

365:5x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 68585739640/(1x4)

LCM = 68585739640/4

LCM = 17146434910

Thus, we can understand that the LCM of 706,506,526,365 is 17146434910.

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

• LCM of 749, 720, 785, 203
• LCM of 725, 915, 716, 607
• LCM of 750, 590, 252, 842
• LCM of 661, 797, 567, 768
• LCM of 356, 729, 618, 744

1. What is the LCM of 706, 506, 526, 365?

Answer: LCM of 706, 506, 526, 365 is 17146434910.

2. How to calculate the LCM of 706, 506, 526, 365?

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, 506, 526, 365.

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}.