Given numbers are 777,471,576,368,253

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

The LCM of 777,471,576,368,253 is 5925737664.

Find LCM of 777,471,576,368,253 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 23 x 259 x 157 x 12 x 1 x 11 = 5925737664

Therefore, the lowest common multiple of 777,471,576,368,253 is 5925737664.

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.

777 x 471 x 576 x 368 x 253 = 19626043143168

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

471 : 1, 3, 157, 471

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,471,576,368,253, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

471:3x 157

576:2x 2x 2x 2x 2x 2x 3x 3

368:2x 2x 2x 2x 23

253:11x 23

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 23 = 3312

Therefore, the value for common factors is 3312.

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 = 19626043143168/(1x3312)

LCM = 19626043143168/3312

LCM = 5925737664

Thus, we can understand that the LCM of 777,471,576,368,253 is 5925737664.

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

• LCM of 433, 840, 639, 929, 702
• LCM of 586, 123, 948, 522, 894
• LCM of 897, 359, 478, 494, 194
• LCM of 682, 769, 604, 497, 837
• LCM of 139, 691, 700, 471, 671

1. What is the LCM of 777, 471, 576, 368, 253?

Answer: LCM of 777, 471, 576, 368, 253 is 5925737664.

2. How to calculate the LCM of 777, 471, 576, 368, 253?

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 777, 471, 576, 368, 253.

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}.