Given numbers are 462,228,211,346,430

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

The LCM of 462,228,211,346,430 is 137782033620.

Find LCM of 462,228,211,346,430 with Prime Factorization

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

2 x 3 x 77 x 38 x 211 x 173 x 215 = 137782033620

Therefore, the lowest common multiple of 462,228,211,346,430 is 137782033620.

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.

462 x 228 x 211 x 346 x 430 = 3306768806880

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

211 : 1, 211

346 : 1, 2, 173, 346

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,228,211,346,430, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

228:2x 2x 3x 19

211:211

346:2x 173

430:2x 5x 43

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 3306768806880/(1x24)

LCM = 3306768806880/24

LCM = 137782033620

Thus, we can understand that the LCM of 462,228,211,346,430 is 137782033620.

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

• LCM of 593, 176, 339, 503, 804
• LCM of 789, 588, 210, 165, 971
• LCM of 604, 711, 749, 466, 364
• LCM of 127, 647, 643, 456, 927
• LCM of 950, 260, 728, 979, 124

1. What is the LCM of 462, 228, 211, 346, 430?

Answer: LCM of 462, 228, 211, 346, 430 is 137782033620.

2. How to calculate the LCM of 462, 228, 211, 346, 430?

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 462, 228, 211, 346, 430.

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}.