Given numbers are 211,170,437,406,814

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

The LCM of 211,170,437,406,814 is 1295099872990.

Find LCM of 211,170,437,406,814 with Prime Factorization

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

2 x 211 x 85 x 437 x 203 x 407 = 1295099872990

Therefore, the lowest common multiple of 211,170,437,406,814 is 1295099872990.

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.

211 x 170 x 437 x 406 x 814 = 5180399491960

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.

211 : 1, 211

170 : 1, 2, 5, 10, 17, 34, 85, 170

437 : 1, 19, 23, 437

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,170,437,406,814, is 1.

Now, the common factors can be found like this.

211:211

170:2x 5x 17

437:19x 23

406:2x 7x 29

814:2x 11x 37

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 = 5180399491960/(1x4)

LCM = 5180399491960/4

LCM = 1295099872990

Thus, we can understand that the LCM of 211,170,437,406,814 is 1295099872990.

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

• LCM of 930, 468, 832, 424, 485
• LCM of 927, 158, 306, 180, 650
• LCM of 564, 915, 821, 324, 337
• LCM of 718, 910, 913, 471, 218
• LCM of 544, 818, 519, 563, 655

1. What is the LCM of 211, 170, 437, 406, 814?

Answer: LCM of 211, 170, 437, 406, 814 is 1295099872990.

2. How to calculate the LCM of 211, 170, 437, 406, 814?

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 211, 170, 437, 406, 814.

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}.