Given numbers are 170,137,169,142

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

The LCM of 170,137,169,142 is 279456710.

Find LCM of 170,137,169,142 with Prime Factorization

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

2 x 85 x 137 x 169 x 71 = 279456710

Therefore, the lowest common multiple of 170,137,169,142 is 279456710.

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.

170 x 137 x 169 x 142 = 558913420

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.

170 : 1, 2, 5, 10, 17, 34, 85, 170

137 : 1, 137

169 : 1, 13, 169

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,137,169,142, is 1.

Now, the common factors can be found like this.

170:2x 5x 17

137:137

169:13x 13

142:2x 71

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 = 558913420/(1x2)

LCM = 558913420/2

LCM = 279456710

Thus, we can understand that the LCM of 170,137,169,142 is 279456710.

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

• LCM of 297, 331, 663, 456
• LCM of 795, 844, 519, 738
• LCM of 479, 853, 239, 302
• LCM of 937, 713, 674, 400
• LCM of 438, 780, 385, 734

1. What is the LCM of 170, 137, 169, 142?

Answer: LCM of 170, 137, 169, 142 is 279456710.

2. How to calculate the LCM of 170, 137, 169, 142?

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 170, 137, 169, 142.

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}.