Given numbers are 122,274,144,236,569

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

The LCM of 122,274,144,236,569 is 40399609968.

Find LCM of 122,274,144,236,569 with Prime Factorization

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

2 x 2 x 61 x 137 x 36 x 59 x 569 = 40399609968

Therefore, the lowest common multiple of 122,274,144,236,569 is 40399609968.

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.

122 x 274 x 144 x 236 x 569 = 646393759488

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.

122 : 1, 2, 61, 122

274 : 1, 2, 137, 274

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

236 : 1, 2, 4, 59, 118, 236

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,274,144,236,569, is 1.

Now, the common factors can be found like this.

122:2x 61

274:2x 137

144:2x 2x 2x 2x 3x 3

236:2x 2x 59

569:569

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 2 = 16

Therefore, the value for common factors is 16.

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 = 646393759488/(1x16)

LCM = 646393759488/16

LCM = 40399609968

Thus, we can understand that the LCM of 122,274,144,236,569 is 40399609968.

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

• LCM of 555, 269, 239, 957, 140
• LCM of 312, 992, 948, 988, 128
• LCM of 428, 806, 252, 743, 605
• LCM of 409, 894, 610, 365, 547
• LCM of 966, 951, 705, 682, 518

1. What is the LCM of 122, 274, 144, 236, 569?

Answer: LCM of 122, 274, 144, 236, 569 is 40399609968.

2. How to calculate the LCM of 122, 274, 144, 236, 569?

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 122, 274, 144, 236, 569.

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}.