Given numbers are 953,526,912,372,414

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

The LCM of 953,526,912,372,414 is 488938540752.

Find LCM of 953,526,912,372,414 with Prime Factorization

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

2 x 2 x 3 x 953 x 263 x 76 x 31 x 69 = 488938540752

Therefore, the lowest common multiple of 953,526,912,372,414 is 488938540752.

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.

953 x 526 x 912 x 372 x 414 = 70407149868288

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.

953 : 1, 953

526 : 1, 2, 263, 526

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,526,912,372,414, is 1.

Now, the common factors can be found like this.

953:953

526:2x 263

912:2x 2x 2x 2x 3x 19

372:2x 2x 3x 31

414:2x 3x 3x 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 3 = 144

Therefore, the value for common factors is 144.

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 = 70407149868288/(1x144)

LCM = 70407149868288/144

LCM = 488938540752

Thus, we can understand that the LCM of 953,526,912,372,414 is 488938540752.

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

• LCM of 889, 897, 139, 677, 775
• LCM of 864, 331, 473, 637, 938
• LCM of 454, 133, 801, 633, 271
• LCM of 401, 503, 620, 314, 206
• LCM of 279, 765, 654, 275, 592

1. What is the LCM of 953, 526, 912, 372, 414?

Answer: LCM of 953, 526, 912, 372, 414 is 488938540752.

2. How to calculate the LCM of 953, 526, 912, 372, 414?

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 953, 526, 912, 372, 414.

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}.