Given numbers are 217,305,186,377

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

The LCM of 217,305,186,377 is 149710470.

Find LCM of 217,305,186,377 with Prime Factorization

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

31 x 7 x 305 x 6 x 377 = 149710470

Therefore, the lowest common multiple of 217,305,186,377 is 149710470.

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.

217 x 305 x 186 x 377 = 4641024570

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.

217 : 1, 7, 31, 217

305 : 1, 5, 61, 305

186 : 1, 2, 3, 6, 31, 62, 93, 186

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,305,186,377, is 1.

Now, the common factors can be found like this.

217:7x 31

305:5x 61

186:2x 3x 31

377:13x 29

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

31 = 31

Therefore, the value for common factors is 31.

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 = 4641024570/(1x31)

LCM = 4641024570/31

LCM = 149710470

Thus, we can understand that the LCM of 217,305,186,377 is 149710470.

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

• LCM of 999, 525, 603, 685
• LCM of 249, 393, 893, 171
• LCM of 352, 618, 450, 514
• LCM of 490, 861, 238, 508
• LCM of 684, 417, 873, 113

1. What is the LCM of 217, 305, 186, 377?

Answer: LCM of 217, 305, 186, 377 is 149710470.

2. How to calculate the LCM of 217, 305, 186, 377?

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 217, 305, 186, 377.

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}.