Given numbers are 368,350,192,920,452

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

The LCM of 368,350,192,920,452 is 87326400.

Find LCM of 368,350,192,920,452 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 23 x 1 x 35 x 12 x 1 x 113 = 87326400

Therefore, the lowest common multiple of 368,350,192,920,452 is 87326400.

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.

368 x 350 x 192 x 920 x 452 = 10283556864000

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

452 : 1, 2, 4, 113, 226, 452

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,350,192,920,452, is 2.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

350:2x 5x 5x 7

192:2x 2x 2x 2x 2x 2x 3

920:2x 2x 2x 5x 23

452:2x 2x 113

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 2x 2x 2x 2x 2x 5x 23 = 58880

Therefore, the value for common factors is 58880.

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 = 10283556864000/(2x58880)

LCM = 10283556864000/117760

LCM = 87326400

Thus, we can understand that the LCM of 368,350,192,920,452 is 87326400.

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

• LCM of 177, 418, 105, 222, 981
• LCM of 300, 972, 460, 174, 657
• LCM of 125, 869, 630, 318, 897
• LCM of 146, 138, 779, 696, 842
• LCM of 226, 529, 122, 158, 747

1. What is the LCM of 368, 350, 192, 920, 452?

Answer: LCM of 368, 350, 192, 920, 452 is 87326400.

2. How to calculate the LCM of 368, 350, 192, 920, 452?

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 368, 350, 192, 920, 452.

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}.