Given numbers are 840,442,703,343

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

The LCM of 840,442,703,343 is 6394741080.

Find LCM of 840,442,703,343 with Prime Factorization

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

2 x 7 x 60 x 221 x 703 x 49 = 6394741080

Therefore, the lowest common multiple of 840,442,703,343 is 6394741080.

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 442 x 703 x 343 = 89526375120

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

703 : 1, 19, 37, 703

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,442,703,343, is 1.

Now, the common factors can be found like this.

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

442:2x 13x 17

703:19x 37

343:7x 7x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 89526375120/(1x14)

LCM = 89526375120/14

LCM = 6394741080

Thus, we can understand that the LCM of 840,442,703,343 is 6394741080.

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

• LCM of 238, 616, 655, 197
• LCM of 527, 405, 730, 978
• LCM of 547, 862, 950, 727
• LCM of 113, 826, 657, 901
• LCM of 650, 401, 872, 752

1. What is the LCM of 840, 442, 703, 343?

Answer: LCM of 840, 442, 703, 343 is 6394741080.

2. How to calculate the LCM of 840, 442, 703, 343?

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, 442, 703, 343.

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}.