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LCM of 152, 105, 897, 299

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


Find the LCM of 152, 105, 897, 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 152, 105, 897, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,105,897,299

Given numbers are 152,105,897,299

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

The LCM of 152,105,897,299 is 4772040.

Find LCM of 152,105,897,299 with Prime Factorization


3 152, 105, 897, 299
13 152, 35, 299, 299
23 152, 35, 23, 23
152, 35, 1, 1

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

3 x 13 x 23 x 152 x 35 x 1 x 1 = 4772040

Therefore, the lowest common multiple of 152,105,897,299 is 4772040.

LCM Formula to Find Lowest Common Multiple of 152,105,897,299

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.

152 x 105 x 897 x 299 = 4280519880

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

105 : 1, 3, 5, 7, 15, 21, 35, 105

897 : 1, 3, 13, 23, 39, 69, 299, 897

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,105,897,299, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

105:3x 5x 7

897:3x 13x 23

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.

3x 13x 23 = 897

Therefore, the value for common factors is 897.

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 = 4280519880/(1x897)

LCM = 4280519880/897

LCM = 4772040

Thus, we can understand that the LCM of 152,105,897,299 is 4772040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 105, 897, 299

1. What is the LCM of 152, 105, 897, 299?

Answer: LCM of 152, 105, 897, 299 is 4772040.

2. How to calculate the LCM of 152, 105, 897, 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 152, 105, 897, 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}.