Given numbers are 369,213,133,349

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

The LCM of 369,213,133,349 is 1216078983.

Find LCM of 369,213,133,349 with Prime Factorization

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

3 x 123 x 71 x 133 x 349 = 1216078983

Therefore, the lowest common multiple of 369,213,133,349 is 1216078983.

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.

369 x 213 x 133 x 349 = 3648236949

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.

369 : 1, 3, 9, 41, 123, 369

213 : 1, 3, 71, 213

133 : 1, 7, 19, 133

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,213,133,349, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

213:3x 71

133:7x 19

349:349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 3648236949/(1x3)

LCM = 3648236949/3

LCM = 1216078983

Thus, we can understand that the LCM of 369,213,133,349 is 1216078983.

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

• LCM of 937, 857, 312, 155
• LCM of 831, 848, 186, 530
• LCM of 845, 481, 257, 962
• LCM of 942, 393, 116, 228
• LCM of 279, 998, 832, 304

1. What is the LCM of 369, 213, 133, 349?

Answer: LCM of 369, 213, 133, 349 is 1216078983.

2. How to calculate the LCM of 369, 213, 133, 349?

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 369, 213, 133, 349.

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}.