Given numbers are 614,565,456,343,677

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

The LCM of 614,565,456,343,677 is 18366840506280.

Find LCM of 614,565,456,343,677 with Prime Factorization

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

2 x 307 x 565 x 228 x 343 x 677 = 18366840506280

Therefore, the lowest common multiple of 614,565,456,343,677 is 18366840506280.

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 565 x 456 x 343 x 677 = 36733681012560

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

565 : 1, 5, 113, 565

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

343 : 1, 7, 49, 343

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,565,456,343,677, is 1.

Now, the common factors can be found like this.

614:2x 307

565:5x 113

456:2x 2x 2x 3x 19

343:7x 7x 7

677:677

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 = 36733681012560/(1x2)

LCM = 36733681012560/2

LCM = 18366840506280

Thus, we can understand that the LCM of 614,565,456,343,677 is 18366840506280.

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

• LCM of 978, 434, 654, 338, 811
• LCM of 587, 883, 596, 961, 350
• LCM of 673, 403, 352, 672, 215
• LCM of 873, 670, 581, 882, 421
• LCM of 610, 792, 941, 287, 991

1. What is the LCM of 614, 565, 456, 343, 677?

Answer: LCM of 614, 565, 456, 343, 677 is 18366840506280.

2. How to calculate the LCM of 614, 565, 456, 343, 677?

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, 565, 456, 343, 677.

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}.