Given numbers are 119,136,409

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

The LCM of 119,136,409 is 389368.

Find LCM of 119,136,409 with Prime Factorization

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

17 x 7 x 8 x 409 = 389368

Therefore, the lowest common multiple of 119,136,409 is 389368.

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.

119 x 136 x 409 = 6619256

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.

119 : 1, 7, 17, 119

136 : 1, 2, 4, 8, 17, 34, 68, 136

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,136,409, is 1.

Now, the common factors can be found like this.

119:7x 17

136:2x 2x 2x 17

409:409

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

17 = 17

Therefore, the value for common factors is 17.

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 = 6619256/(1x17)

LCM = 6619256/17

LCM = 389368

Thus, we can understand that the LCM of 119,136,409 is 389368.

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

• LCM of 335, 327, 819
• LCM of 126, 210, 207
• LCM of 433, 320, 471
• LCM of 597, 109, 422
• LCM of 125, 739, 184

1. What is the LCM of 119, 136, 409?

Answer: LCM of 119, 136, 409 is 389368.

2. How to calculate the LCM of 119, 136, 409?

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 119, 136, 409.

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}.