Given numbers are 518,438,678,253,696

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

The LCM of 518,438,678,253,696 is 376210427208.

Find LCM of 518,438,678,253,696 with Prime Factorization

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

2 x 3 x 259 x 73 x 113 x 253 x 116 = 376210427208

Therefore, the lowest common multiple of 518,438,678,253,696 is 376210427208.

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.

518 x 438 x 678 x 253 x 696 = 27087150758976

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

438 : 1, 2, 3, 6, 73, 146, 219, 438

678 : 1, 2, 3, 6, 113, 226, 339, 678

253 : 1, 11, 23, 253

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,438,678,253,696, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

438:2x 3x 73

678:2x 3x 113

253:11x 23

696:2x 2x 2x 3x 29

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 = 27087150758976/(1x72)

LCM = 27087150758976/72

LCM = 376210427208

Thus, we can understand that the LCM of 518,438,678,253,696 is 376210427208.

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

• LCM of 415, 156, 896, 511, 440
• LCM of 887, 730, 501, 196, 242
• LCM of 475, 954, 978, 871, 744
• LCM of 812, 429, 951, 414, 937
• LCM of 609, 144, 974, 202, 747

1. What is the LCM of 518, 438, 678, 253, 696?

Answer: LCM of 518, 438, 678, 253, 696 is 376210427208.

2. How to calculate the LCM of 518, 438, 678, 253, 696?

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 518, 438, 678, 253, 696.

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}.