Given numbers are 614,452,676,895,714

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

The LCM of 614,452,676,895,714 is 7492983328740.

Find LCM of 614,452,676,895,714 with Prime Factorization

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

2 x 2 x 307 x 113 x 169 x 895 x 357 = 7492983328740

Therefore, the lowest common multiple of 614,452,676,895,714 is 7492983328740.

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 452 x 676 x 895 x 714 = 119887733259840

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

452 : 1, 2, 4, 113, 226, 452

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

895 : 1, 5, 179, 895

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,452,676,895,714, is 1.

Now, the common factors can be found like this.

614:2x 307

452:2x 2x 113

676:2x 2x 13x 13

895:5x 179

714:2x 3x 7x 17

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 2 = 16

Therefore, the value for common factors is 16.

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 = 119887733259840/(1x16)

LCM = 119887733259840/16

LCM = 7492983328740

Thus, we can understand that the LCM of 614,452,676,895,714 is 7492983328740.

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

• LCM of 253, 502, 981, 528, 765
• LCM of 716, 897, 151, 863, 859
• LCM of 519, 632, 982, 459, 111
• LCM of 997, 288, 886, 575, 737
• LCM of 747, 650, 261, 120, 575

1. What is the LCM of 614, 452, 676, 895, 714?

Answer: LCM of 614, 452, 676, 895, 714 is 7492983328740.

2. How to calculate the LCM of 614, 452, 676, 895, 714?

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, 452, 676, 895, 714.

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}.