Given numbers are 352,126,107,520,238

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

The LCM of 352,126,107,520,238 is 2621979360.

Find LCM of 352,126,107,520,238 with Prime Factorization

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

2 x 2 x 2 x 7 x 44 x 9 x 107 x 65 x 17 = 2621979360

Therefore, the lowest common multiple of 352,126,107,520,238 is 2621979360.

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.

352 x 126 x 107 x 520 x 238 = 587323376640

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

107 : 1, 107

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,126,107,520,238, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

126:2x 3x 3x 7

107:107

520:2x 2x 2x 5x 13

238:2x 7x 17

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 7 = 224

Therefore, the value for common factors is 224.

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 = 587323376640/(1x224)

LCM = 587323376640/224

LCM = 2621979360

Thus, we can understand that the LCM of 352,126,107,520,238 is 2621979360.

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

• LCM of 907, 403, 180, 542, 809
• LCM of 141, 766, 261, 942, 390
• LCM of 778, 835, 145, 250, 792
• LCM of 732, 788, 637, 726, 112
• LCM of 272, 513, 844, 314, 891

1. What is the LCM of 352, 126, 107, 520, 238?

Answer: LCM of 352, 126, 107, 520, 238 is 2621979360.

2. How to calculate the LCM of 352, 126, 107, 520, 238?

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 352, 126, 107, 520, 238.

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}.