Given numbers are 419,194,106,138

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

The LCM of 419,194,106,138 is 297262902.

Find LCM of 419,194,106,138 with Prime Factorization

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

2 x 419 x 97 x 53 x 69 = 297262902

Therefore, the lowest common multiple of 419,194,106,138 is 297262902.

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.

419 x 194 x 106 x 138 = 1189051608

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.

419 : 1, 419

194 : 1, 2, 97, 194

106 : 1, 2, 53, 106

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,194,106,138, is 1.

Now, the common factors can be found like this.

419:419

194:2x 97

106:2x 53

138:2x 3x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1189051608/(1x4)

LCM = 1189051608/4

LCM = 297262902

Thus, we can understand that the LCM of 419,194,106,138 is 297262902.

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

• LCM of 553, 631, 306, 788
• LCM of 391, 694, 657, 404
• LCM of 163, 218, 894, 673
• LCM of 968, 412, 865, 196
• LCM of 863, 193, 420, 307

1. What is the LCM of 419, 194, 106, 138?

Answer: LCM of 419, 194, 106, 138 is 297262902.

2. How to calculate the LCM of 419, 194, 106, 138?

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 419, 194, 106, 138.

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}.