Given numbers are 919,627,624,806,714

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

The LCM of 919,627,624,806,714 is 442135149456.

Find LCM of 919,627,624,806,714 with Prime Factorization

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

2 x 3 x 13 x 919 x 209 x 8 x 31 x 119 = 442135149456

Therefore, the lowest common multiple of 919,627,624,806,714 is 442135149456.

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.

919 x 627 x 624 x 806 x 714 = 206919249945408

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.

919 : 1, 919

627 : 1, 3, 11, 19, 33, 57, 209, 627

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

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 919,627,624,806,714, is 1.

Now, the common factors can be found like this.

919:919

627:3x 11x 19

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

806:2x 13x 31

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 206919249945408/(1x468)

LCM = 206919249945408/468

LCM = 442135149456

Thus, we can understand that the LCM of 919,627,624,806,714 is 442135149456.

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

• LCM of 888, 646, 830, 825, 344
• LCM of 676, 818, 504, 707, 496
• LCM of 304, 489, 644, 196, 796
• LCM of 590, 835, 610, 505, 586
• LCM of 711, 489, 282, 705, 852

1. What is the LCM of 919, 627, 624, 806, 714?

Answer: LCM of 919, 627, 624, 806, 714 is 442135149456.

2. How to calculate the LCM of 919, 627, 624, 806, 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 919, 627, 624, 806, 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}.