Given numbers are 308,209,213,961

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

The LCM of 308,209,213,961 is 1197863436.

Find LCM of 308,209,213,961 with Prime Factorization

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

11 x 28 x 19 x 213 x 961 = 1197863436

Therefore, the lowest common multiple of 308,209,213,961 is 1197863436.

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.

308 x 209 x 213 x 961 = 13176497796

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

209 : 1, 11, 19, 209

213 : 1, 3, 71, 213

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,209,213,961, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

209:11x 19

213:3x 71

961:31x 31

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

11 = 11

Therefore, the value for common factors is 11.

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 = 13176497796/(1x11)

LCM = 13176497796/11

LCM = 1197863436

Thus, we can understand that the LCM of 308,209,213,961 is 1197863436.

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

• LCM of 966, 424, 730, 569
• LCM of 828, 823, 787, 158
• LCM of 586, 548, 202, 798
• LCM of 435, 397, 639, 224
• LCM of 519, 824, 177, 908

1. What is the LCM of 308, 209, 213, 961?

Answer: LCM of 308, 209, 213, 961 is 1197863436.

2. How to calculate the LCM of 308, 209, 213, 961?

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 308, 209, 213, 961.

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}.