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LCM of 386, 135, 335, 674, 335

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


Find the LCM of 386, 135, 335, 674, 335 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 386, 135, 335, 674, 335. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,135,335,674,335

Given numbers are 386,135,335,674,335

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

The LCM of 386,135,335,674,335 is 1176591690.

Find LCM of 386,135,335,674,335 with Prime Factorization


2 386, 135, 335, 674, 335
5 193, 135, 335, 337, 335
67 193, 27, 67, 337, 67
193, 27, 1, 337, 1

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

2 x 5 x 67 x 193 x 27 x 1 x 337 x 1 = 1176591690

Therefore, the lowest common multiple of 386,135,335,674,335 is 1176591690.

LCM Formula to Find Lowest Common Multiple of 386,135,335,674,335

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.

386 x 135 x 335 x 674 x 335 = 3941582161500

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.

386 : 1, 2, 193, 386

135 : 1, 3, 5, 9, 15, 27, 45, 135

335 : 1, 5, 67, 335

674 : 1, 2, 337, 674

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,135,335,674,335, is 1.

Now, the common factors can be found like this.

386:2x 193

135:3x 3x 3x 5

335:5x 67

674:2x 337

335:5x 67

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

2x 5x 5x 67 = 3350

Therefore, the value for common factors is 3350.

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 = 3941582161500/(1x3350)

LCM = 3941582161500/3350

LCM = 1176591690

Thus, we can understand that the LCM of 386,135,335,674,335 is 1176591690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 135, 335, 674, 335

1. What is the LCM of 386, 135, 335, 674, 335?

Answer: LCM of 386, 135, 335, 674, 335 is 1176591690.

2. How to calculate the LCM of 386, 135, 335, 674, 335?

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 386, 135, 335, 674, 335.

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}.