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LCM of 913, 554, 319

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


Find the LCM of 913, 554, 319 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 913, 554, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,554,319

Given numbers are 913,554,319

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

The LCM of 913,554,319 is 14668258.

Find LCM of 913,554,319 with Prime Factorization


11 913, 554, 319
83, 554, 29

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

11 x 83 x 554 x 29 = 14668258

Therefore, the lowest common multiple of 913,554,319 is 14668258.

LCM Formula to Find Lowest Common Multiple of 913,554,319

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.

913 x 554 x 319 = 161350838

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.

913 : 1, 11, 83, 913

554 : 1, 2, 277, 554

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,554,319, is 1.

Now, the common factors can be found like this.

913:11x 83

554:2x 277

319:11x 29

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

11 = 11

Therefore, the value for common factors is 11.

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 = 161350838/(1x11)

LCM = 161350838/11

LCM = 14668258

Thus, we can understand that the LCM of 913,554,319 is 14668258.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 913, 554, 319

1. What is the LCM of 913, 554, 319?

Answer: LCM of 913, 554, 319 is 14668258.

2. How to calculate the LCM of 913, 554, 319?

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 913, 554, 319.

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}.