Given numbers are 840,741,813,806,252

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

The LCM of 840,741,813,806,252 is 5229118440.

Find LCM of 840,741,813,806,252 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 10 x 19 x 271 x 31 x 3 = 5229118440

Therefore, the lowest common multiple of 840,741,813,806,252 is 5229118440.

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.

840 x 741 x 813 x 806 x 252 = 102783552056640

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

741 : 1, 3, 13, 19, 39, 57, 247, 741

813 : 1, 3, 271, 813

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,741,813,806,252, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

741:3x 13x 19

813:3x 271

806:2x 13x 31

252:2x 2x 3x 3x 7

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 3x 3x 3x 7x 13 = 19656

Therefore, the value for common factors is 19656.

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 = 102783552056640/(1x19656)

LCM = 102783552056640/19656

LCM = 5229118440

Thus, we can understand that the LCM of 840,741,813,806,252 is 5229118440.

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

• LCM of 325, 611, 248, 113, 326
• LCM of 376, 957, 775, 171, 731
• LCM of 815, 678, 282, 995, 399
• LCM of 630, 971, 983, 292, 714
• LCM of 176, 439, 823, 509, 477

1. What is the LCM of 840, 741, 813, 806, 252?

Answer: LCM of 840, 741, 813, 806, 252 is 5229118440.

2. How to calculate the LCM of 840, 741, 813, 806, 252?

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 840, 741, 813, 806, 252.

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}.