Given numbers are 840,845,535,414

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

The LCM of 840,845,535,414 is 1048090680.

Find LCM of 840,845,535,414 with Prime Factorization

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

2 x 3 x 5 x 28 x 169 x 107 x 69 = 1048090680

Therefore, the lowest common multiple of 840,845,535,414 is 1048090680.

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 845 x 535 x 414 = 157213602000

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

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

535 : 1, 5, 107, 535

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,845,535,414, is 1.

Now, the common factors can be found like this.

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

845:5x 13x 13

535:5x 107

414:2x 3x 3x 23

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 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 157213602000/(1x150)

LCM = 157213602000/150

LCM = 1048090680

Thus, we can understand that the LCM of 840,845,535,414 is 1048090680.

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

• LCM of 481, 232, 196, 539
• LCM of 251, 482, 947, 657
• LCM of 851, 465, 211, 817
• LCM of 794, 295, 563, 661
• LCM of 630, 422, 256, 832

1. What is the LCM of 840, 845, 535, 414?

Answer: LCM of 840, 845, 535, 414 is 1048090680.

2. How to calculate the LCM of 840, 845, 535, 414?

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, 845, 535, 414.

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}.