Given numbers are 815,893,504,752,201

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

The LCM of 815,893,504,752,201 is 49152363120.

Find LCM of 815,893,504,752,201 with Prime Factorization

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

2 x 2 x 2 x 3 x 47 x 815 x 19 x 21 x 2 x 67 = 49152363120

Therefore, the lowest common multiple of 815,893,504,752,201 is 49152363120.

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.

815 x 893 x 504 x 752 x 201 = 55443865599360

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.

815 : 1, 5, 163, 815

893 : 1, 19, 47, 893

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,893,504,752,201, is 1.

Now, the common factors can be found like this.

815:5x 163

893:19x 47

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

752:2x 2x 2x 2x 47

201:3x 67

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 47 = 1128

Therefore, the value for common factors is 1128.

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 = 55443865599360/(1x1128)

LCM = 55443865599360/1128

LCM = 49152363120

Thus, we can understand that the LCM of 815,893,504,752,201 is 49152363120.

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

• LCM of 368, 493, 918, 109, 931
• LCM of 597, 293, 450, 642, 941
• LCM of 365, 684, 149, 460, 343
• LCM of 584, 590, 246, 938, 592
• LCM of 319, 642, 632, 427, 105

1. What is the LCM of 815, 893, 504, 752, 201?

Answer: LCM of 815, 893, 504, 752, 201 is 49152363120.

2. How to calculate the LCM of 815, 893, 504, 752, 201?

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 815, 893, 504, 752, 201.

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}.