Given numbers are 840,202,914,308,390

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

The LCM of 840,202,914,308,390 is 5544378840.

Find LCM of 840,202,914,308,390 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 2 x 101 x 457 x 11 x 13 = 5544378840

Therefore, the lowest common multiple of 840,202,914,308,390 is 5544378840.

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 202 x 914 x 308 x 390 = 18629112902400

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

202 : 1, 2, 101, 202

914 : 1, 2, 457, 914

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,202,914,308,390, is 2.

Now, the common factors can be found like this.

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

202:2x 101

914:2x 457

308:2x 2x 7x 11

390:2x 3x 5x 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 2x 2x 2x 3x 5x 7 = 1680

Therefore, the value for common factors is 1680.

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 = 18629112902400/(2x1680)

LCM = 18629112902400/3360

LCM = 5544378840

Thus, we can understand that the LCM of 840,202,914,308,390 is 5544378840.

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

• LCM of 344, 974, 379, 325, 694
• LCM of 327, 258, 439, 842, 929
• LCM of 887, 397, 779, 366, 275
• LCM of 988, 498, 303, 902, 471
• LCM of 694, 923, 991, 218, 148

1. What is the LCM of 840, 202, 914, 308, 390?

Answer: LCM of 840, 202, 914, 308, 390 is 5544378840.

2. How to calculate the LCM of 840, 202, 914, 308, 390?

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, 202, 914, 308, 390.

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}.