Given numbers are 526,299,470,139,504

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

The LCM of 526,299,470,139,504 is 1294613512920.

Find LCM of 526,299,470,139,504 with Prime Factorization

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

2 x 263 x 299 x 235 x 139 x 252 = 1294613512920

Therefore, the lowest common multiple of 526,299,470,139,504 is 1294613512920.

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.

526 x 299 x 470 x 139 x 504 = 5178454051680

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.

526 : 1, 2, 263, 526

299 : 1, 13, 23, 299

470 : 1, 2, 5, 10, 47, 94, 235, 470

139 : 1, 139

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,299,470,139,504, is 1.

Now, the common factors can be found like this.

526:2x 263

299:13x 23

470:2x 5x 47

139:139

504:2x 2x 2x 3x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5178454051680/(1x4)

LCM = 5178454051680/4

LCM = 1294613512920

Thus, we can understand that the LCM of 526,299,470,139,504 is 1294613512920.

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

• LCM of 866, 822, 576, 340, 557
• LCM of 407, 817, 825, 112, 822
• LCM of 113, 268, 104, 972, 586
• LCM of 349, 933, 200, 278, 292
• LCM of 488, 377, 368, 466, 584

1. What is the LCM of 526, 299, 470, 139, 504?

Answer: LCM of 526, 299, 470, 139, 504 is 1294613512920.

2. How to calculate the LCM of 526, 299, 470, 139, 504?

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 526, 299, 470, 139, 504.

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}.