Given numbers are 324,350,946,224,902

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

The LCM of 324,350,946,224,902 is 8796664800.

Find LCM of 324,350,946,224,902 with Prime Factorization

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

2 x 2 x 7 x 11 x 81 x 25 x 43 x 8 x 41 = 8796664800

Therefore, the lowest common multiple of 324,350,946,224,902 is 8796664800.

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.

324 x 350 x 946 x 224 x 902 = 21674982067200

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,350,946,224,902, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

350:2x 5x 5x 7

946:2x 11x 43

224:2x 2x 2x 2x 2x 7

902:2x 11x 41

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 2x 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 21674982067200/(2x1232)

LCM = 21674982067200/2464

LCM = 8796664800

Thus, we can understand that the LCM of 324,350,946,224,902 is 8796664800.

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

• LCM of 547, 105, 980, 365, 183
• LCM of 464, 262, 988, 330, 832
• LCM of 117, 848, 701, 643, 934
• LCM of 839, 361, 539, 649, 101
• LCM of 974, 717, 941, 125, 885

1. What is the LCM of 324, 350, 946, 224, 902?

Answer: LCM of 324, 350, 946, 224, 902 is 8796664800.

2. How to calculate the LCM of 324, 350, 946, 224, 902?

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 324, 350, 946, 224, 902.

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}.