Given numbers are 838,580,219,418,546

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

The LCM of 838,580,219,418,546 is 1012217426220.

Find LCM of 838,580,219,418,546 with Prime Factorization

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

2 x 3 x 419 x 290 x 73 x 209 x 91 = 1012217426220

Therefore, the lowest common multiple of 838,580,219,418,546 is 1012217426220.

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.

838 x 580 x 219 x 418 x 546 = 24293218229280

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.

838 : 1, 2, 419, 838

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

219 : 1, 3, 73, 219

418 : 1, 2, 11, 19, 22, 38, 209, 418

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,580,219,418,546, is 1.

Now, the common factors can be found like this.

838:2x 419

580:2x 2x 5x 29

219:3x 73

418:2x 11x 19

546:2x 3x 7x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 24293218229280/(1x24)

LCM = 24293218229280/24

LCM = 1012217426220

Thus, we can understand that the LCM of 838,580,219,418,546 is 1012217426220.

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

• LCM of 355, 423, 624, 641, 797
• LCM of 236, 860, 446, 239, 231
• LCM of 204, 339, 773, 233, 475
• LCM of 314, 883, 157, 120, 534
• LCM of 289, 324, 337, 761, 253

1. What is the LCM of 838, 580, 219, 418, 546?

Answer: LCM of 838, 580, 219, 418, 546 is 1012217426220.

2. How to calculate the LCM of 838, 580, 219, 418, 546?

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 838, 580, 219, 418, 546.

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}.