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LCM of 277, 361, 439, 554, 855

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


Find the LCM of 277, 361, 439, 554, 855 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 277, 361, 439, 554, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 277,361,439,554,855

Given numbers are 277,361,439,554,855

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

The LCM of 277,361,439,554,855 is 3950881470.

Find LCM of 277,361,439,554,855 with Prime Factorization


19 277, 361, 439, 554, 855
277 277, 19, 439, 554, 45
1, 19, 439, 2, 45

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

19 x 277 x 1 x 19 x 439 x 2 x 45 = 3950881470

Therefore, the lowest common multiple of 277,361,439,554,855 is 3950881470.

LCM Formula to Find Lowest Common Multiple of 277,361,439,554,855

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.

277 x 361 x 439 x 554 x 855 = 20793489176610

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.

277 : 1, 277

361 : 1, 19, 361

439 : 1, 439

554 : 1, 2, 277, 554

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,361,439,554,855, is 1.

Now, the common factors can be found like this.

277:277

361:19x 19

439:439

554:2x 277

855:3x 3x 5x 19

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

19x 277 = 5263

Therefore, the value for common factors is 5263.

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 = 20793489176610/(1x5263)

LCM = 20793489176610/5263

LCM = 3950881470

Thus, we can understand that the LCM of 277,361,439,554,855 is 3950881470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 277, 361, 439, 554, 855

1. What is the LCM of 277, 361, 439, 554, 855?

Answer: LCM of 277, 361, 439, 554, 855 is 3950881470.

2. How to calculate the LCM of 277, 361, 439, 554, 855?

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 277, 361, 439, 554, 855.

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}.