Given numbers are 189,760,828,537,701

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

The LCM of 189,760,828,537,701 is 414547481880.

Find LCM of 189,760,828,537,701 with Prime Factorization

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

2 x 2 x 3 x 3 x 21 x 190 x 23 x 179 x 701 = 414547481880

Therefore, the lowest common multiple of 189,760,828,537,701 is 414547481880.

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.

189 x 760 x 828 x 537 x 701 = 44771128043040

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

537 : 1, 3, 179, 537

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,760,828,537,701, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

760:2x 2x 2x 5x 19

828:2x 2x 3x 3x 23

537:3x 179

701:701

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 3 = 108

Therefore, the value for common factors is 108.

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 = 44771128043040/(1x108)

LCM = 44771128043040/108

LCM = 414547481880

Thus, we can understand that the LCM of 189,760,828,537,701 is 414547481880.

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

• LCM of 619, 165, 786, 592, 351
• LCM of 236, 351, 152, 891, 200
• LCM of 330, 706, 368, 238, 264
• LCM of 300, 913, 322, 996, 824
• LCM of 847, 930, 911, 164, 423

1. What is the LCM of 189, 760, 828, 537, 701?

Answer: LCM of 189, 760, 828, 537, 701 is 414547481880.

2. How to calculate the LCM of 189, 760, 828, 537, 701?

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 189, 760, 828, 537, 701.

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}.