Given numbers are 423,214,645,381,741

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

The LCM of 423,214,645,381,741 is 610510692870.

Find LCM of 423,214,645,381,741 with Prime Factorization

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

3 x 141 x 214 x 215 x 127 x 247 = 610510692870

Therefore, the lowest common multiple of 423,214,645,381,741 is 610510692870.

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.

423 x 214 x 645 x 381 x 741 = 16483788707490

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.

423 : 1, 3, 9, 47, 141, 423

214 : 1, 2, 107, 214

645 : 1, 3, 5, 15, 43, 129, 215, 645

381 : 1, 3, 127, 381

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,214,645,381,741, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

214:2x 107

645:3x 5x 43

381:3x 127

741:3x 13x 19

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 16483788707490/(1x27)

LCM = 16483788707490/27

LCM = 610510692870

Thus, we can understand that the LCM of 423,214,645,381,741 is 610510692870.

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

• LCM of 283, 130, 936, 375, 128
• LCM of 661, 916, 319, 476, 190
• LCM of 192, 643, 113, 840, 966
• LCM of 641, 140, 588, 182, 461
• LCM of 190, 893, 969, 650, 495

1. What is the LCM of 423, 214, 645, 381, 741?

Answer: LCM of 423, 214, 645, 381, 741 is 610510692870.

2. How to calculate the LCM of 423, 214, 645, 381, 741?

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 423, 214, 645, 381, 741.

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}.