Given numbers are 548,266,720,368

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

The LCM of 548,266,720,368 is 301739760.

Find LCM of 548,266,720,368 with Prime Factorization

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

2 x 2 x 2 x 2 x 137 x 133 x 45 x 23 = 301739760

Therefore, the lowest common multiple of 548,266,720,368 is 301739760.

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 266 x 720 x 368 = 38622689280

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,266,720,368, is 2.

Now, the common factors can be found like this.

548:2x 2x 137

266:2x 7x 19

720:2x 2x 2x 2x 3x 3x 5

368:2x 2x 2x 2x 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 2x 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 38622689280/(2x64)

LCM = 38622689280/128

LCM = 301739760

Thus, we can understand that the LCM of 548,266,720,368 is 301739760.

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

• LCM of 274, 754, 581, 603
• LCM of 762, 563, 140, 679
• LCM of 398, 143, 646, 639
• LCM of 705, 347, 912, 171
• LCM of 143, 109, 107, 426

1. What is the LCM of 548, 266, 720, 368?

Answer: LCM of 548, 266, 720, 368 is 301739760.

2. How to calculate the LCM of 548, 266, 720, 368?

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, 266, 720, 368.

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}.