Given numbers are 861,104,375,894,117

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

The LCM of 861,104,375,894,117 is 5003271000.

Find LCM of 861,104,375,894,117 with Prime Factorization

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

2 x 3 x 13 x 287 x 4 x 125 x 149 x 3 = 5003271000

Therefore, the lowest common multiple of 861,104,375,894,117 is 5003271000.

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.

861 x 104 x 375 x 894 x 117 = 3512296242000

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

104 : 1, 2, 4, 8, 13, 26, 52, 104

375 : 1, 3, 5, 15, 25, 75, 125, 375

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

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,104,375,894,117, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

104:2x 2x 2x 13

375:3x 5x 5x 5

894:2x 3x 149

117:3x 3x 13

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

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 3512296242000/(1x702)

LCM = 3512296242000/702

LCM = 5003271000

Thus, we can understand that the LCM of 861,104,375,894,117 is 5003271000.

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

• LCM of 962, 417, 674, 749, 480
• LCM of 302, 950, 903, 495, 713
• LCM of 989, 576, 475, 556, 351
• LCM of 268, 788, 792, 146, 903
• LCM of 742, 425, 215, 847, 627

1. What is the LCM of 861, 104, 375, 894, 117?

Answer: LCM of 861, 104, 375, 894, 117 is 5003271000.

2. How to calculate the LCM of 861, 104, 375, 894, 117?

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 861, 104, 375, 894, 117.

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}.