Given numbers are 714,687,624,845

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

The LCM of 714,687,624,845 is 1105300560.

Find LCM of 714,687,624,845 with Prime Factorization

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

2 x 3 x 13 x 119 x 229 x 8 x 65 = 1105300560

Therefore, the lowest common multiple of 714,687,624,845 is 1105300560.

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.

714 x 687 x 624 x 845 = 258640331040

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.

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

687 : 1, 3, 229, 687

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,687,624,845, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

687:3x 229

624:2x 2x 2x 2x 3x 13

845:5x 13x 13

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

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 258640331040/(1x234)

LCM = 258640331040/234

LCM = 1105300560

Thus, we can understand that the LCM of 714,687,624,845 is 1105300560.

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

• LCM of 841, 644, 505, 112
• LCM of 397, 674, 451, 462
• LCM of 651, 334, 756, 670
• LCM of 661, 282, 404, 798
• LCM of 669, 278, 383, 551

1. What is the LCM of 714, 687, 624, 845?

Answer: LCM of 714, 687, 624, 845 is 1105300560.

2. How to calculate the LCM of 714, 687, 624, 845?

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 714, 687, 624, 845.

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}.