Given numbers are 614,268,563,743

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

The LCM of 614,268,563,743 is 34416791284.

Find LCM of 614,268,563,743 with Prime Factorization

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

2 x 307 x 134 x 563 x 743 = 34416791284

Therefore, the lowest common multiple of 614,268,563,743 is 34416791284.

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.

614 x 268 x 563 x 743 = 68833582568

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.

614 : 1, 2, 307, 614

268 : 1, 2, 4, 67, 134, 268

563 : 1, 563

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,268,563,743, is 1.

Now, the common factors can be found like this.

614:2x 307

268:2x 2x 67

563:563

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 = 68833582568/(1x2)

LCM = 68833582568/2

LCM = 34416791284

Thus, we can understand that the LCM of 614,268,563,743 is 34416791284.

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

• LCM of 852, 914, 920, 313
• LCM of 258, 667, 987, 168
• LCM of 385, 776, 218, 196
• LCM of 973, 173, 622, 345
• LCM of 547, 429, 996, 985

1. What is the LCM of 614, 268, 563, 743?

Answer: LCM of 614, 268, 563, 743 is 34416791284.

2. How to calculate the LCM of 614, 268, 563, 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 614, 268, 563, 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}.