Given numbers are 862,420,790,386,140

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

The LCM of 862,420,790,386,140 is 2760011940.

Find LCM of 862,420,790,386,140 with Prime Factorization

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

2 x 2 x 5 x 7 x 431 x 3 x 79 x 193 x 1 = 2760011940

Therefore, the lowest common multiple of 862,420,790,386,140 is 2760011940.

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.

862 x 420 x 790 x 386 x 140 = 15456066864000

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.

862 : 1, 2, 431, 862

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

790 : 1, 2, 5, 10, 79, 158, 395, 790

386 : 1, 2, 193, 386

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,420,790,386,140, is 2.

Now, the common factors can be found like this.

862:2x 431

420:2x 2x 3x 5x 7

790:2x 5x 79

386:2x 193

140:2x 2x 5x 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 2x 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 15456066864000/(2x2800)

LCM = 15456066864000/5600

LCM = 2760011940

Thus, we can understand that the LCM of 862,420,790,386,140 is 2760011940.

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

• LCM of 760, 713, 582, 191, 817
• LCM of 744, 476, 260, 554, 965
• LCM of 394, 411, 420, 925, 494
• LCM of 417, 777, 938, 825, 262
• LCM of 725, 877, 598, 339, 290

1. What is the LCM of 862, 420, 790, 386, 140?

Answer: LCM of 862, 420, 790, 386, 140 is 2760011940.

2. How to calculate the LCM of 862, 420, 790, 386, 140?

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 862, 420, 790, 386, 140.

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}.