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LCM of 554, 728, 544, 817, 918

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


Find the LCM of 554, 728, 544, 817, 918 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 554, 728, 544, 817, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,728,544,817,918

Given numbers are 554,728,544,817,918

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

The LCM of 554,728,544,817,918 is 302486419872.

Find LCM of 554,728,544,817,918 with Prime Factorization


2 554, 728, 544, 817, 918
2 277, 364, 272, 817, 459
2 277, 182, 136, 817, 459
17 277, 91, 68, 817, 459
277, 91, 4, 817, 27

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

2 x 2 x 2 x 17 x 277 x 91 x 4 x 817 x 27 = 302486419872

Therefore, the lowest common multiple of 554,728,544,817,918 is 302486419872.

LCM Formula to Find Lowest Common Multiple of 554,728,544,817,918

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.

554 x 728 x 544 x 817 x 918 = 164552612410368

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.

554 : 1, 2, 277, 554

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

817 : 1, 19, 43, 817

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,728,544,817,918, is 1.

Now, the common factors can be found like this.

554:2x 277

728:2x 2x 2x 7x 13

544:2x 2x 2x 2x 2x 17

817:19x 43

918:2x 3x 3x 3x 17

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

2x 2x 2x 2x 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 164552612410368/(1x544)

LCM = 164552612410368/544

LCM = 302486419872

Thus, we can understand that the LCM of 554,728,544,817,918 is 302486419872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 728, 544, 817, 918

1. What is the LCM of 554, 728, 544, 817, 918?

Answer: LCM of 554, 728, 544, 817, 918 is 302486419872.

2. How to calculate the LCM of 554, 728, 544, 817, 918?

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 554, 728, 544, 817, 918.

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}.