Given numbers are 195,407,175,685,120

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

The LCM of 195,407,175,685,120 is 3044441400.

Find LCM of 195,407,175,685,120 with Prime Factorization

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

3 x 5 x 13 x 407 x 35 x 137 x 8 = 3044441400

Therefore, the lowest common multiple of 195,407,175,685,120 is 3044441400.

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.

195 x 407 x 175 x 685 x 120 = 1141665525000

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

407 : 1, 11, 37, 407

175 : 1, 5, 7, 25, 35, 175

685 : 1, 5, 137, 685

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,407,175,685,120, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

407:11x 37

175:5x 5x 7

685:5x 137

120:2x 2x 2x 3x 5

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

3x 5x 5x 5 = 375

Therefore, the value for common factors is 375.

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 = 1141665525000/(1x375)

LCM = 1141665525000/375

LCM = 3044441400

Thus, we can understand that the LCM of 195,407,175,685,120 is 3044441400.

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

• LCM of 133, 920, 166, 421, 169
• LCM of 762, 900, 418, 601, 205
• LCM of 428, 314, 191, 476, 497
• LCM of 792, 260, 623, 823, 991
• LCM of 306, 610, 988, 219, 320

1. What is the LCM of 195, 407, 175, 685, 120?

Answer: LCM of 195, 407, 175, 685, 120 is 3044441400.

2. How to calculate the LCM of 195, 407, 175, 685, 120?

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 195, 407, 175, 685, 120.

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}.