Given numbers are 348,528,572,726

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

The LCM of 348,528,572,726 is 2189616.

Find LCM of 348,528,572,726 with Prime Factorization

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

2 x 2 x 3 x 11 x 29 x 4 x 13 x 11 = 2189616

Therefore, the lowest common multiple of 348,528,572,726 is 2189616.

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.

348 x 528 x 572 x 726 = 76303738368

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,528,572,726, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

528:2x 2x 2x 2x 3x 11

572:2x 2x 11x 13

726:2x 3x 11x 11

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 2x 2x 3x 3x 11x 11 = 17424

Therefore, the value for common factors is 17424.

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 = 76303738368/(2x17424)

LCM = 76303738368/34848

LCM = 2189616

Thus, we can understand that the LCM of 348,528,572,726 is 2189616.

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

• LCM of 513, 591, 706, 619
• LCM of 115, 113, 356, 405
• LCM of 606, 295, 689, 474
• LCM of 410, 571, 947, 901
• LCM of 270, 251, 761, 331

1. What is the LCM of 348, 528, 572, 726?

Answer: LCM of 348, 528, 572, 726 is 2189616.

2. How to calculate the LCM of 348, 528, 572, 726?

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 348, 528, 572, 726.

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}.