Given numbers are 126,238,798,696,282

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

The LCM of 126,238,798,696,282 is 221885496.

Find LCM of 126,238,798,696,282 with Prime Factorization

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

2 x 3 x 7 x 3 x 17 x 19 x 116 x 47 = 221885496

Therefore, the lowest common multiple of 126,238,798,696,282 is 221885496.

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.

126 x 238 x 798 x 696 x 282 = 4696872179328

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.

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

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

282 : 1, 2, 3, 6, 47, 94, 141, 282

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,238,798,696,282, is 2.

Now, the common factors can be found like this.

126:2x 3x 3x 7

238:2x 7x 17

798:2x 3x 7x 19

696:2x 2x 2x 3x 29

282:2x 3x 47

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 3x 3x 3x 7x 7 = 10584

Therefore, the value for common factors is 10584.

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 = 4696872179328/(2x10584)

LCM = 4696872179328/21168

LCM = 221885496

Thus, we can understand that the LCM of 126,238,798,696,282 is 221885496.

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

• LCM of 956, 943, 314, 792, 384
• LCM of 367, 780, 761, 136, 136
• LCM of 211, 799, 781, 230, 930
• LCM of 301, 678, 700, 355, 160
• LCM of 271, 259, 974, 967, 536

1. What is the LCM of 126, 238, 798, 696, 282?

Answer: LCM of 126, 238, 798, 696, 282 is 221885496.

2. How to calculate the LCM of 126, 238, 798, 696, 282?

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 126, 238, 798, 696, 282.

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}.