Given numbers are 678,359,734,221,743

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

The LCM of 678,359,734,221,743 is 14668013268402.

Find LCM of 678,359,734,221,743 with Prime Factorization

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

2 x 339 x 359 x 367 x 221 x 743 = 14668013268402

Therefore, the lowest common multiple of 678,359,734,221,743 is 14668013268402.

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.

678 x 359 x 734 x 221 x 743 = 29336026536804

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

359 : 1, 359

734 : 1, 2, 367, 734

221 : 1, 13, 17, 221

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,359,734,221,743, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

359:359

734:2x 367

221:13x 17

743:743

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

2 = 2

Therefore, the value for common factors is 2.

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 = 29336026536804/(1x2)

LCM = 29336026536804/2

LCM = 14668013268402

Thus, we can understand that the LCM of 678,359,734,221,743 is 14668013268402.

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

• LCM of 913, 198, 980, 290, 181
• LCM of 781, 343, 992, 915, 184
• LCM of 104, 155, 708, 780, 996
• LCM of 333, 386, 656, 441, 504
• LCM of 597, 131, 886, 985, 686

1. What is the LCM of 678, 359, 734, 221, 743?

Answer: LCM of 678, 359, 734, 221, 743 is 14668013268402.

2. How to calculate the LCM of 678, 359, 734, 221, 743?

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 678, 359, 734, 221, 743.

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}.