Given numbers are 308,902,311,121,946

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

The LCM of 308,902,311,121,946 is 1857616684.

Find LCM of 308,902,311,121,946 with Prime Factorization

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

2 x 11 x 14 x 41 x 311 x 11 x 43 = 1857616684

Therefore, the lowest common multiple of 308,902,311,121,946 is 1857616684.

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 902 x 311 x 121 x 946 = 9889951225616

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

902 : 1, 2, 11, 22, 41, 82, 451, 902

311 : 1, 311

121 : 1, 11, 121

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,902,311,121,946, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

902:2x 11x 41

311:311

121:11x 11

946:2x 11x 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 11x 11x 11 = 5324

Therefore, the value for common factors is 5324.

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 = 9889951225616/(1x5324)

LCM = 9889951225616/5324

LCM = 1857616684

Thus, we can understand that the LCM of 308,902,311,121,946 is 1857616684.

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

• LCM of 124, 454, 827, 799, 961
• LCM of 142, 928, 396, 834, 484
• LCM of 761, 256, 434, 828, 243
• LCM of 776, 666, 577, 464, 682
• LCM of 331, 914, 793, 804, 824

1. What is the LCM of 308, 902, 311, 121, 946?

Answer: LCM of 308, 902, 311, 121, 946 is 1857616684.

2. How to calculate the LCM of 308, 902, 311, 121, 946?

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, 902, 311, 121, 946.

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}.