Given numbers are 548,193,113,280,307

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

The LCM of 548,193,113,280,307 is 256834124680.

Find LCM of 548,193,113,280,307 with Prime Factorization

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

2 x 2 x 137 x 193 x 113 x 70 x 307 = 256834124680

Therefore, the lowest common multiple of 548,193,113,280,307 is 256834124680.

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.

548 x 193 x 113 x 280 x 307 = 1027336498720

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.

548 : 1, 2, 4, 137, 274, 548

193 : 1, 193

113 : 1, 113

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,193,113,280,307, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

193:193

113:113

280:2x 2x 2x 5x 7

307:307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1027336498720/(1x4)

LCM = 1027336498720/4

LCM = 256834124680

Thus, we can understand that the LCM of 548,193,113,280,307 is 256834124680.

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

• LCM of 242, 979, 974, 820, 179
• LCM of 924, 144, 691, 134, 196
• LCM of 281, 499, 974, 703, 141
• LCM of 389, 946, 132, 553, 985
• LCM of 827, 950, 142, 818, 401

1. What is the LCM of 548, 193, 113, 280, 307?

Answer: LCM of 548, 193, 113, 280, 307 is 256834124680.

2. How to calculate the LCM of 548, 193, 113, 280, 307?

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 548, 193, 113, 280, 307.

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}.