Given numbers are 827,540,174,504,642

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

The LCM of 827,540,174,504,642 is 19400328360.

Find LCM of 827,540,174,504,642 with Prime Factorization

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

2 x 2 x 3 x 3 x 827 x 15 x 29 x 14 x 107 = 19400328360

Therefore, the lowest common multiple of 827,540,174,504,642 is 19400328360.

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.

827 x 540 x 174 x 504 x 642 = 25142825554560

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.

827 : 1, 827

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

174 : 1, 2, 3, 6, 29, 58, 87, 174

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,540,174,504,642, is 1.

Now, the common factors can be found like this.

827:827

540:2x 2x 3x 3x 3x 5

174:2x 3x 29

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

642:2x 3x 107

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 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 25142825554560/(1x1296)

LCM = 25142825554560/1296

LCM = 19400328360

Thus, we can understand that the LCM of 827,540,174,504,642 is 19400328360.

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

• LCM of 544, 516, 254, 116, 382
• LCM of 706, 848, 497, 401, 836
• LCM of 285, 360, 512, 762, 709
• LCM of 289, 169, 924, 991, 823
• LCM of 721, 905, 995, 686, 937

1. What is the LCM of 827, 540, 174, 504, 642?

Answer: LCM of 827, 540, 174, 504, 642 is 19400328360.

2. How to calculate the LCM of 827, 540, 174, 504, 642?

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 827, 540, 174, 504, 642.

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}.