Given numbers are 398,624,273,546

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

The LCM of 398,624,273,546 is 869232.

Find LCM of 398,624,273,546 with Prime Factorization

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

2 x 3 x 7 x 13 x 199 x 8 x 1 x 1 = 869232

Therefore, the lowest common multiple of 398,624,273,546 is 869232.

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.

398 x 624 x 273 x 546 = 37018852416

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.

398 : 1, 2, 199, 398

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

273 : 1, 3, 7, 13, 21, 39, 91, 273

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 398,624,273,546, is 1.

Now, the common factors can be found like this.

398:2x 199

624:2x 2x 2x 2x 3x 13

273:3x 7x 13

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 3x 3x 7x 13x 13 = 42588

Therefore, the value for common factors is 42588.

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 = 37018852416/(1x42588)

LCM = 37018852416/42588

LCM = 869232

Thus, we can understand that the LCM of 398,624,273,546 is 869232.

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

• LCM of 630, 356, 309, 347
• LCM of 367, 652, 674, 591
• LCM of 951, 568, 857, 650
• LCM of 678, 768, 790, 348
• LCM of 465, 857, 956, 564

1. What is the LCM of 398, 624, 273, 546?

Answer: LCM of 398, 624, 273, 546 is 869232.

2. How to calculate the LCM of 398, 624, 273, 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 398, 624, 273, 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}.