Given numbers are 409,170,187,236

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

The LCM of 409,170,187,236 is 90249940.

Find LCM of 409,170,187,236 with Prime Factorization

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

2 x 17 x 409 x 5 x 11 x 118 = 90249940

Therefore, the lowest common multiple of 409,170,187,236 is 90249940.

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.

409 x 170 x 187 x 236 = 3068497960

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.

409 : 1, 409

170 : 1, 2, 5, 10, 17, 34, 85, 170

187 : 1, 11, 17, 187

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,170,187,236, is 1.

Now, the common factors can be found like this.

409:409

170:2x 5x 17

187:11x 17

236:2x 2x 59

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 3068497960/(1x34)

LCM = 3068497960/34

LCM = 90249940

Thus, we can understand that the LCM of 409,170,187,236 is 90249940.

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

• LCM of 748, 624, 851, 895
• LCM of 424, 570, 847, 258
• LCM of 963, 303, 521, 912
• LCM of 404, 826, 377, 943
• LCM of 398, 679, 503, 484

1. What is the LCM of 409, 170, 187, 236?

Answer: LCM of 409, 170, 187, 236 is 90249940.

2. How to calculate the LCM of 409, 170, 187, 236?

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 409, 170, 187, 236.

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}.