Given numbers are 309,232,406,226

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

The LCM of 309,232,406,226 is 56705208.

Find LCM of 309,232,406,226 with Prime Factorization

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

2 x 29 x 309 x 4 x 7 x 113 = 56705208

Therefore, the lowest common multiple of 309,232,406,226 is 56705208.

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.

309 x 232 x 406 x 226 = 6577804128

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.

309 : 1, 3, 103, 309

232 : 1, 2, 4, 8, 29, 58, 116, 232

406 : 1, 2, 7, 14, 29, 58, 203, 406

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,232,406,226, is 1.

Now, the common factors can be found like this.

309:3x 103

232:2x 2x 2x 29

406:2x 7x 29

226:2x 113

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 29 = 116

Therefore, the value for common factors is 116.

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 = 6577804128/(1x116)

LCM = 6577804128/116

LCM = 56705208

Thus, we can understand that the LCM of 309,232,406,226 is 56705208.

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

• LCM of 911, 219, 250, 219
• LCM of 153, 852, 690, 751
• LCM of 150, 651, 889, 971
• LCM of 579, 600, 208, 916
• LCM of 845, 564, 569, 791

1. What is the LCM of 309, 232, 406, 226?

Answer: LCM of 309, 232, 406, 226 is 56705208.

2. How to calculate the LCM of 309, 232, 406, 226?

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 309, 232, 406, 226.

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}.