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LCM of 519, 169, 169, 994

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


Find the LCM of 519, 169, 169, 994 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 519, 169, 169, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 519,169,169,994

Given numbers are 519,169,169,994

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

The LCM of 519,169,169,994 is 87184734.

Find LCM of 519,169,169,994 with Prime Factorization


13 519, 169, 169, 994
13 519, 13, 13, 994
519, 1, 1, 994

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

13 x 13 x 519 x 1 x 1 x 994 = 87184734

Therefore, the lowest common multiple of 519,169,169,994 is 87184734.

LCM Formula to Find Lowest Common Multiple of 519,169,169,994

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.

519 x 169 x 169 x 994 = 14734220046

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.

519 : 1, 3, 173, 519

169 : 1, 13, 169

169 : 1, 13, 169

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,169,169,994, is 1.

Now, the common factors can be found like this.

519:3x 173

169:13x 13

169:13x 13

994:2x 7x 71

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 14734220046/(1x169)

LCM = 14734220046/169

LCM = 87184734

Thus, we can understand that the LCM of 519,169,169,994 is 87184734.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 519, 169, 169, 994

1. What is the LCM of 519, 169, 169, 994?

Answer: LCM of 519, 169, 169, 994 is 87184734.

2. How to calculate the LCM of 519, 169, 169, 994?

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 519, 169, 169, 994.

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}.