Given numbers are 117,771,750,120,846

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

The LCM of 117,771,750,120,846 is 1413243000.

Find LCM of 117,771,750,120,846 with Prime Factorization

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

2 x 3 x 3 x 5 x 13 x 257 x 25 x 4 x 47 = 1413243000

Therefore, the lowest common multiple of 117,771,750,120,846 is 1413243000.

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.

117 x 771 x 750 x 120 x 846 = 6868360980000

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.

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

771 : 1, 3, 257, 771

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,771,750,120,846, is 3.

Now, the common factors can be found like this.

117:3x 3x 13

771:3x 257

750:2x 3x 5x 5x 5

120:2x 2x 2x 3x 5

846:2x 3x 3x 47

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 3x 3x 3x 3x 5 = 1620

Therefore, the value for common factors is 1620.

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 = 6868360980000/(3x1620)

LCM = 6868360980000/4860

LCM = 1413243000

Thus, we can understand that the LCM of 117,771,750,120,846 is 1413243000.

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

• LCM of 416, 415, 594, 845, 267
• LCM of 156, 588, 409, 113, 823
• LCM of 115, 949, 864, 678, 197
• LCM of 430, 861, 534, 749, 144
• LCM of 152, 571, 338, 859, 271

1. What is the LCM of 117, 771, 750, 120, 846?

Answer: LCM of 117, 771, 750, 120, 846 is 1413243000.

2. How to calculate the LCM of 117, 771, 750, 120, 846?

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 117, 771, 750, 120, 846.

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}.