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LCM of 299, 169, 125, 889

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


Find the LCM of 299, 169, 125, 889 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 299, 169, 125, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,169,125,889

Given numbers are 299,169,125,889

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

The LCM of 299,169,125,889 is 431942875.

Find LCM of 299,169,125,889 with Prime Factorization


13 299, 169, 125, 889
23, 13, 125, 889

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

13 x 23 x 13 x 125 x 889 = 431942875

Therefore, the lowest common multiple of 299,169,125,889 is 431942875.

LCM Formula to Find Lowest Common Multiple of 299,169,125,889

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.

299 x 169 x 125 x 889 = 5615257375

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.

299 : 1, 13, 23, 299

169 : 1, 13, 169

125 : 1, 5, 25, 125

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,169,125,889, is 1.

Now, the common factors can be found like this.

299:13x 23

169:13x 13

125:5x 5x 5

889:7x 127

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

13 = 13

Therefore, the value for common factors is 13.

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 = 5615257375/(1x13)

LCM = 5615257375/13

LCM = 431942875

Thus, we can understand that the LCM of 299,169,125,889 is 431942875.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 169, 125, 889

1. What is the LCM of 299, 169, 125, 889?

Answer: LCM of 299, 169, 125, 889 is 431942875.

2. How to calculate the LCM of 299, 169, 125, 889?

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 299, 169, 125, 889.

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}.