Given numbers are 294,543,314,660,138

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

The LCM of 294,543,314,660,138 is 21137132940.

Find LCM of 294,543,314,660,138 with Prime Factorization

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

2 x 3 x 49 x 181 x 157 x 110 x 23 = 21137132940

Therefore, the lowest common multiple of 294,543,314,660,138 is 21137132940.

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.

294 x 543 x 314 x 660 x 138 = 4565620715040

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

543 : 1, 3, 181, 543

314 : 1, 2, 157, 314

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,543,314,660,138, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

543:3x 181

314:2x 157

660:2x 2x 3x 5x 11

138:2x 3x 23

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 3 = 216

Therefore, the value for common factors is 216.

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 = 4565620715040/(1x216)

LCM = 4565620715040/216

LCM = 21137132940

Thus, we can understand that the LCM of 294,543,314,660,138 is 21137132940.

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

• LCM of 980, 823, 661, 295, 585
• LCM of 546, 979, 765, 193, 695
• LCM of 968, 226, 963, 594, 558
• LCM of 348, 244, 618, 723, 157
• LCM of 929, 204, 720, 794, 594

1. What is the LCM of 294, 543, 314, 660, 138?

Answer: LCM of 294, 543, 314, 660, 138 is 21137132940.

2. How to calculate the LCM of 294, 543, 314, 660, 138?

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 294, 543, 314, 660, 138.

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}.