Given numbers are 514,252,376,130,118

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

The LCM of 514,252,376,130,118 is 23346774360.

Find LCM of 514,252,376,130,118 with Prime Factorization

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

2 x 2 x 257 x 63 x 94 x 65 x 59 = 23346774360

Therefore, the lowest common multiple of 514,252,376,130,118 is 23346774360.

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.

514 x 252 x 376 x 130 x 118 = 747096779520

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.

514 : 1, 2, 257, 514

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

376 : 1, 2, 4, 8, 47, 94, 188, 376

130 : 1, 2, 5, 10, 13, 26, 65, 130

118 : 1, 2, 59, 118

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,252,376,130,118, is 2.

Now, the common factors can be found like this.

514:2x 257

252:2x 2x 3x 3x 7

376:2x 2x 2x 47

130:2x 5x 13

118:2x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 747096779520/(2x16)

LCM = 747096779520/32

LCM = 23346774360

Thus, we can understand that the LCM of 514,252,376,130,118 is 23346774360.

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

• LCM of 632, 680, 238, 117, 404
• LCM of 432, 150, 875, 977, 902
• LCM of 909, 311, 307, 194, 923
• LCM of 960, 446, 557, 235, 373
• LCM of 109, 870, 504, 534, 210

1. What is the LCM of 514, 252, 376, 130, 118?

Answer: LCM of 514, 252, 376, 130, 118 is 23346774360.

2. How to calculate the LCM of 514, 252, 376, 130, 118?

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 514, 252, 376, 130, 118.

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}.