Given numbers are 106,138,157,289

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

The LCM of 106,138,157,289 is 331858122.

Find LCM of 106,138,157,289 with Prime Factorization

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

2 x 53 x 69 x 157 x 289 = 331858122

Therefore, the lowest common multiple of 106,138,157,289 is 331858122.

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.

106 x 138 x 157 x 289 = 663716244

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.

106 : 1, 2, 53, 106

138 : 1, 2, 3, 6, 23, 46, 69, 138

157 : 1, 157

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,138,157,289, is 1.

Now, the common factors can be found like this.

106:2x 53

138:2x 3x 23

157:157

289:17x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 663716244/(1x2)

LCM = 663716244/2

LCM = 331858122

Thus, we can understand that the LCM of 106,138,157,289 is 331858122.

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

• LCM of 988, 559, 666, 473
• LCM of 346, 951, 258, 663
• LCM of 870, 841, 944, 683
• LCM of 546, 443, 971, 151
• LCM of 742, 529, 840, 105

1. What is the LCM of 106, 138, 157, 289?

Answer: LCM of 106, 138, 157, 289 is 331858122.

2. How to calculate the LCM of 106, 138, 157, 289?

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 106, 138, 157, 289.

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}.