Given numbers are 915,528,124,671,894

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

The LCM of 915,528,124,671,894 is 743843760.

Find LCM of 915,528,124,671,894 with Prime Factorization

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

2 x 2 x 3 x 11 x 61 x 5 x 4 x 31 x 1 x 149 = 743843760

Therefore, the lowest common multiple of 915,528,124,671,894 is 743843760.

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.

915 x 528 x 124 x 671 x 894 = 35936579733120

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.

915 : 1, 3, 5, 15, 61, 183, 305, 915

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

124 : 1, 2, 4, 31, 62, 124

671 : 1, 11, 61, 671

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,528,124,671,894, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

528:2x 2x 2x 2x 3x 11

124:2x 2x 31

671:11x 61

894:2x 3x 149

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 3x 11x 61 = 48312

Therefore, the value for common factors is 48312.

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 = 35936579733120/(1x48312)

LCM = 35936579733120/48312

LCM = 743843760

Thus, we can understand that the LCM of 915,528,124,671,894 is 743843760.

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

• LCM of 383, 108, 740, 987, 947
• LCM of 564, 540, 904, 453, 980
• LCM of 372, 416, 885, 819, 800
• LCM of 370, 926, 102, 587, 718
• LCM of 378, 105, 427, 680, 340

1. What is the LCM of 915, 528, 124, 671, 894?

Answer: LCM of 915, 528, 124, 671, 894 is 743843760.

2. How to calculate the LCM of 915, 528, 124, 671, 894?

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 915, 528, 124, 671, 894.

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}.