Given numbers are 548,322,685,314

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

The LCM of 548,322,685,314 is 69258980.

Find LCM of 548,322,685,314 with Prime Factorization

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

2 x 137 x 2 x 161 x 5 x 157 = 69258980

Therefore, the lowest common multiple of 548,322,685,314 is 69258980.

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 322 x 685 x 314 = 37953921040

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

685 : 1, 5, 137, 685

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,322,685,314, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

322:2x 7x 23

685:5x 137

314:2x 157

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 137 = 548

Therefore, the value for common factors is 548.

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 = 37953921040/(1x548)

LCM = 37953921040/548

LCM = 69258980

Thus, we can understand that the LCM of 548,322,685,314 is 69258980.

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

• LCM of 607, 492, 925, 252
• LCM of 613, 522, 685, 858
• LCM of 814, 274, 973, 997
• LCM of 537, 226, 798, 159
• LCM of 800, 908, 722, 947

1. What is the LCM of 548, 322, 685, 314?

Answer: LCM of 548, 322, 685, 314 is 69258980.

2. How to calculate the LCM of 548, 322, 685, 314?

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, 322, 685, 314.

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}.