Given numbers are 344,462,922,226,354

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

The LCM of 344,462,922,226,354 is 244231570968.

Find LCM of 344,462,922,226,354 with Prime Factorization

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

2 x 3 x 172 x 77 x 461 x 113 x 59 = 244231570968

Therefore, the lowest common multiple of 344,462,922,226,354 is 244231570968.

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.

344 x 462 x 922 x 226 x 354 = 11723115406464

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

922 : 1, 2, 461, 922

226 : 1, 2, 113, 226

354 : 1, 2, 3, 6, 59, 118, 177, 354

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,462,922,226,354, is 2.

Now, the common factors can be found like this.

344:2x 2x 2x 43

462:2x 3x 7x 11

922:2x 461

226:2x 113

354:2x 3x 59

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 = 11723115406464/(2x24)

LCM = 11723115406464/48

LCM = 244231570968

Thus, we can understand that the LCM of 344,462,922,226,354 is 244231570968.

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

• LCM of 261, 752, 786, 641, 231
• LCM of 647, 516, 216, 815, 173
• LCM of 278, 778, 849, 946, 360
• LCM of 882, 281, 820, 961, 236
• LCM of 244, 891, 418, 764, 592

1. What is the LCM of 344, 462, 922, 226, 354?

Answer: LCM of 344, 462, 922, 226, 354 is 244231570968.

2. How to calculate the LCM of 344, 462, 922, 226, 354?

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 344, 462, 922, 226, 354.

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}.