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LCM of 153, 166, 615, 271, 299

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


Find the LCM of 153, 166, 615, 271, 299 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 153, 166, 615, 271, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,166,615,271,299

Given numbers are 153,166,615,271,299

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

The LCM of 153,166,615,271,299 is 421884781110.

Find LCM of 153,166,615,271,299 with Prime Factorization


3 153, 166, 615, 271, 299
51, 166, 205, 271, 299

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

3 x 51 x 166 x 205 x 271 x 299 = 421884781110

Therefore, the lowest common multiple of 153,166,615,271,299 is 421884781110.

LCM Formula to Find Lowest Common Multiple of 153,166,615,271,299

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.

153 x 166 x 615 x 271 x 299 = 1265654343330

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.

153 : 1, 3, 9, 17, 51, 153

166 : 1, 2, 83, 166

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

271 : 1, 271

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,166,615,271,299, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

166:2x 83

615:3x 5x 41

271:271

299:13x 23

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 = 1265654343330/(1x3)

LCM = 1265654343330/3

LCM = 421884781110

Thus, we can understand that the LCM of 153,166,615,271,299 is 421884781110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 166, 615, 271, 299

1. What is the LCM of 153, 166, 615, 271, 299?

Answer: LCM of 153, 166, 615, 271, 299 is 421884781110.

2. How to calculate the LCM of 153, 166, 615, 271, 299?

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 153, 166, 615, 271, 299.

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}.