Given numbers are 944,238,420,126,348

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

The LCM of 944,238,420,126,348 is 146598480.

Find LCM of 944,238,420,126,348 with Prime Factorization

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

2 x 2 x 3 x 7 x 236 x 17 x 5 x 3 x 29 = 146598480

Therefore, the lowest common multiple of 944,238,420,126,348 is 146598480.

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.

944 x 238 x 420 x 126 x 348 = 4137595499520

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.

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

238 : 1, 2, 7, 14, 17, 34, 119, 238

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,238,420,126,348, is 2.

Now, the common factors can be found like this.

944:2x 2x 2x 2x 59

238:2x 7x 17

420:2x 2x 3x 5x 7

126:2x 3x 3x 7

348:2x 2x 3x 29

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 3x 3x 7x 7 = 14112

Therefore, the value for common factors is 14112.

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 = 4137595499520/(2x14112)

LCM = 4137595499520/28224

LCM = 146598480

Thus, we can understand that the LCM of 944,238,420,126,348 is 146598480.

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

• LCM of 284, 271, 502, 633, 558
• LCM of 784, 821, 802, 593, 808
• LCM of 394, 879, 113, 583, 396
• LCM of 800, 550, 246, 589, 380
• LCM of 889, 585, 354, 854, 306

1. What is the LCM of 944, 238, 420, 126, 348?

Answer: LCM of 944, 238, 420, 126, 348 is 146598480.

2. How to calculate the LCM of 944, 238, 420, 126, 348?

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 944, 238, 420, 126, 348.

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}.