Given numbers are 348,552,628,764,596

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

The LCM of 348,552,628,764,596 is 71524752504.

Find LCM of 348,552,628,764,596 with Prime Factorization

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

2 x 2 x 3 x 29 x 46 x 157 x 191 x 149 = 71524752504

Therefore, the lowest common multiple of 348,552,628,764,596 is 71524752504.

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 552 x 628 x 764 x 596 = 54931009923072

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

628 : 1, 2, 4, 157, 314, 628

764 : 1, 2, 4, 191, 382, 764

596 : 1, 2, 4, 149, 298, 596

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,552,628,764,596, is 4.

Now, the common factors can be found like this.

348:2x 2x 3x 29

552:2x 2x 2x 3x 23

628:2x 2x 157

764:2x 2x 191

596:2x 2x 149

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 54931009923072/(4x192)

LCM = 54931009923072/768

LCM = 71524752504

Thus, we can understand that the LCM of 348,552,628,764,596 is 71524752504.

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

• LCM of 167, 182, 801, 571, 946
• LCM of 484, 762, 818, 749, 988
• LCM of 716, 116, 237, 886, 158
• LCM of 698, 862, 211, 386, 745
• LCM of 750, 956, 592, 896, 341

1. What is the LCM of 348, 552, 628, 764, 596?

Answer: LCM of 348, 552, 628, 764, 596 is 71524752504.

2. How to calculate the LCM of 348, 552, 628, 764, 596?

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, 552, 628, 764, 596.

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}.