Given numbers are 264,770,515,319,253

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

The LCM of 264,770,515,319,253 is 634797240.

Find LCM of 264,770,515,319,253 with Prime Factorization

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

2 x 5 x 11 x 12 x 7 x 103 x 29 x 23 = 634797240

Therefore, the lowest common multiple of 264,770,515,319,253 is 634797240.

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.

264 x 770 x 515 x 319 x 253 = 8449151264400

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.

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

515 : 1, 5, 103, 515

319 : 1, 11, 29, 319

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,770,515,319,253, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

770:2x 5x 7x 11

515:5x 103

319:11x 29

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 5x 11x 11x 11 = 13310

Therefore, the value for common factors is 13310.

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 = 8449151264400/(1x13310)

LCM = 8449151264400/13310

LCM = 634797240

Thus, we can understand that the LCM of 264,770,515,319,253 is 634797240.

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

• LCM of 949, 994, 501, 845, 826
• LCM of 116, 817, 575, 798, 628
• LCM of 786, 230, 762, 461, 647
• LCM of 393, 552, 570, 849, 839
• LCM of 668, 428, 612, 208, 601

1. What is the LCM of 264, 770, 515, 319, 253?

Answer: LCM of 264, 770, 515, 319, 253 is 634797240.

2. How to calculate the LCM of 264, 770, 515, 319, 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 264, 770, 515, 319, 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}.