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LCM of 67, 422, 340

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


Find the LCM of 67, 422, 340 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 67, 422, 340. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 67,422,340

Given numbers are 67,422,340

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

The LCM of 67,422,340 is 4806580.

Find LCM of 67,422,340 with Prime Factorization


2 67, 422, 340
67, 211, 170

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

2 x 67 x 211 x 170 = 4806580

Therefore, the lowest common multiple of 67,422,340 is 4806580.

LCM Formula to Find Lowest Common Multiple of 67,422,340

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.

67 x 422 x 340 = 9613160

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.

67 : 1, 67

422 : 1, 2, 211, 422

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 67,422,340, is 1.

Now, the common factors can be found like this.

67:67

422:2x 211

340:2x 2x 5x 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 = 9613160/(1x2)

LCM = 9613160/2

LCM = 4806580

Thus, we can understand that the LCM of 67,422,340 is 4806580.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 67, 422, 340

1. What is the LCM of 67, 422, 340?

Answer: LCM of 67, 422, 340 is 4806580.

2. How to calculate the LCM of 67, 422, 340?

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 67, 422, 340.

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}.