Given numbers are 544,284,350

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

The LCM of 544,284,350 is 6759200.

Find LCM of 544,284,350 with Prime Factorization

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

2 x 2 x 136 x 71 x 175 = 6759200

Therefore, the lowest common multiple of 544,284,350 is 6759200.

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.

544 x 284 x 350 = 54073600

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

284 : 1, 2, 4, 71, 142, 284

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,284,350, is 2.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

284:2x 2x 71

350:2x 5x 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 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 = 54073600/(2x4)

LCM = 54073600/8

LCM = 6759200

Thus, we can understand that the LCM of 544,284,350 is 6759200.

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

• LCM of 610, 848, 899
• LCM of 402, 568, 713
• LCM of 340, 277, 614
• LCM of 101, 148, 440
• LCM of 183, 739, 991

1. What is the LCM of 544, 284, 350?

Answer: LCM of 544, 284, 350 is 6759200.

2. How to calculate the LCM of 544, 284, 350?

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 544, 284, 350.

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}.