Given numbers are 577,468,201,238,708

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

The LCM of 577,468,201,238,708 is 127026824652.

Find LCM of 577,468,201,238,708 with Prime Factorization

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

2 x 2 x 3 x 577 x 39 x 67 x 119 x 59 = 127026824652

Therefore, the lowest common multiple of 577,468,201,238,708 is 127026824652.

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.

577 x 468 x 201 x 238 x 708 = 9145931374944

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.

577 : 1, 577

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

201 : 1, 3, 67, 201

238 : 1, 2, 7, 14, 17, 34, 119, 238

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,468,201,238,708, is 1.

Now, the common factors can be found like this.

577:577

468:2x 2x 3x 3x 13

201:3x 67

238:2x 7x 17

708:2x 2x 3x 59

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 9145931374944/(1x72)

LCM = 9145931374944/72

LCM = 127026824652

Thus, we can understand that the LCM of 577,468,201,238,708 is 127026824652.

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

• LCM of 765, 423, 675, 377, 864
• LCM of 531, 317, 376, 567, 728
• LCM of 427, 509, 571, 371, 814
• LCM of 591, 939, 499, 129, 679
• LCM of 675, 543, 730, 865, 676

1. What is the LCM of 577, 468, 201, 238, 708?

Answer: LCM of 577, 468, 201, 238, 708 is 127026824652.

2. How to calculate the LCM of 577, 468, 201, 238, 708?

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 577, 468, 201, 238, 708.

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}.