Given numbers are 348,141,150,940,454

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

The LCM of 348,141,150,940,454 is 92820300.

Find LCM of 348,141,150,940,454 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 29 x 1 x 5 x 1 x 227 = 92820300

Therefore, the lowest common multiple of 348,141,150,940,454 is 92820300.

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.

348 x 141 x 150 x 940 x 454 = 3141038952000

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

141 : 1, 3, 47, 141

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,141,150,940,454, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

141:3x 47

150:2x 3x 5x 5

940:2x 2x 5x 47

454:2x 227

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 3x 3x 5x 47 = 33840

Therefore, the value for common factors is 33840.

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 = 3141038952000/(1x33840)

LCM = 3141038952000/33840

LCM = 92820300

Thus, we can understand that the LCM of 348,141,150,940,454 is 92820300.

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

• LCM of 516, 354, 811, 540, 870
• LCM of 684, 983, 875, 188, 575
• LCM of 939, 658, 686, 116, 633
• LCM of 947, 445, 305, 700, 343
• LCM of 188, 811, 393, 243, 876

1. What is the LCM of 348, 141, 150, 940, 454?

Answer: LCM of 348, 141, 150, 940, 454 is 92820300.

2. How to calculate the LCM of 348, 141, 150, 940, 454?

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 348, 141, 150, 940, 454.

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}.