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LCM of 170, 180, 838, 615

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


Find the LCM of 170, 180, 838, 615 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 170, 180, 838, 615. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 170,180,838,615

Given numbers are 170,180,838,615

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

The LCM of 170,180,838,615 is 52567740.

Find LCM of 170,180,838,615 with Prime Factorization


2 170, 180, 838, 615
3 85, 90, 419, 615
5 85, 30, 419, 205
17, 6, 419, 41

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

2 x 3 x 5 x 17 x 6 x 419 x 41 = 52567740

Therefore, the lowest common multiple of 170,180,838,615 is 52567740.

LCM Formula to Find Lowest Common Multiple of 170,180,838,615

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 180 x 838 x 615 = 15770322000

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

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

838 : 1, 2, 419, 838

615 : 1, 3, 5, 15, 41, 123, 205, 615

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,180,838,615, is 1.

Now, the common factors can be found like this.

170:2x 5x 17

180:2x 2x 3x 3x 5

838:2x 419

615:3x 5x 41

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

2x 2x 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 15770322000/(1x300)

LCM = 15770322000/300

LCM = 52567740

Thus, we can understand that the LCM of 170,180,838,615 is 52567740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 170, 180, 838, 615

1. What is the LCM of 170, 180, 838, 615?

Answer: LCM of 170, 180, 838, 615 is 52567740.

2. How to calculate the LCM of 170, 180, 838, 615?

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, 180, 838, 615.

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}.