Given numbers are 909,214,434,138

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

The LCM of 909,214,434,138 is 970879266.

Find LCM of 909,214,434,138 with Prime Factorization

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

2 x 3 x 303 x 107 x 217 x 23 = 970879266

Therefore, the lowest common multiple of 909,214,434,138 is 970879266.

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.

909 x 214 x 434 x 138 = 11650551192

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.

909 : 1, 3, 9, 101, 303, 909

214 : 1, 2, 107, 214

434 : 1, 2, 7, 14, 31, 62, 217, 434

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 909,214,434,138, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

214:2x 107

434:2x 7x 31

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 11650551192/(1x12)

LCM = 11650551192/12

LCM = 970879266

Thus, we can understand that the LCM of 909,214,434,138 is 970879266.

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

• LCM of 995, 913, 584, 234
• LCM of 789, 179, 434, 172
• LCM of 940, 499, 889, 516
• LCM of 906, 141, 983, 351
• LCM of 482, 373, 382, 719

1. What is the LCM of 909, 214, 434, 138?

Answer: LCM of 909, 214, 434, 138 is 970879266.

2. How to calculate the LCM of 909, 214, 434, 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 909, 214, 434, 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}.