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LCM of 137, 606, 321, 257

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 137, 606, 321, 257 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 137, 606, 321, 257. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 137,606,321,257

Given numbers are 137,606,321,257

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

The LCM of 137,606,321,257 is 2283021978.

Find LCM of 137,606,321,257 with Prime Factorization


3 137, 606, 321, 257
137, 202, 107, 257

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

3 x 137 x 202 x 107 x 257 = 2283021978

Therefore, the lowest common multiple of 137,606,321,257 is 2283021978.

LCM Formula to Find Lowest Common Multiple of 137,606,321,257

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.

137 x 606 x 321 x 257 = 6849065934

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.

137 : 1, 137

606 : 1, 2, 3, 6, 101, 202, 303, 606

321 : 1, 3, 107, 321

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,606,321,257, is 1.

Now, the common factors can be found like this.

137:137

606:2x 3x 101

321:3x 107

257:257

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

3 = 3

Therefore, the value for common factors is 3.

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 = 6849065934/(1x3)

LCM = 6849065934/3

LCM = 2283021978

Thus, we can understand that the LCM of 137,606,321,257 is 2283021978.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 137, 606, 321, 257

1. What is the LCM of 137, 606, 321, 257?

Answer: LCM of 137, 606, 321, 257 is 2283021978.

2. How to calculate the LCM of 137, 606, 321, 257?

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 137, 606, 321, 257.

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}.