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LCM of 544, 638, 388, 564, 234

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


Find the LCM of 544, 638, 388, 564, 234 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 544, 638, 388, 564, 234. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,638,388,564,234

Given numbers are 544,638,388,564,234

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

The LCM of 544,638,388,564,234 is 92564623008.

Find LCM of 544,638,388,564,234 with Prime Factorization


2 544, 638, 388, 564, 234
2 272, 319, 194, 282, 117
3 136, 319, 97, 141, 117
136, 319, 97, 47, 39

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

2 x 2 x 3 x 136 x 319 x 97 x 47 x 39 = 92564623008

Therefore, the lowest common multiple of 544,638,388,564,234 is 92564623008.

LCM Formula to Find Lowest Common Multiple of 544,638,388,564,234

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.

544 x 638 x 388 x 564 x 234 = 17772407617536

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.

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

388 : 1, 2, 4, 97, 194, 388

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,638,388,564,234, is 2.

Now, the common factors can be found like this.

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

638:2x 11x 29

388:2x 2x 97

564:2x 2x 3x 47

234:2x 3x 3x 13

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 3 = 96

Therefore, the value for common factors is 96.

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 = 17772407617536/(2x96)

LCM = 17772407617536/192

LCM = 92564623008

Thus, we can understand that the LCM of 544,638,388,564,234 is 92564623008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 638, 388, 564, 234

1. What is the LCM of 544, 638, 388, 564, 234?

Answer: LCM of 544, 638, 388, 564, 234 is 92564623008.

2. How to calculate the LCM of 544, 638, 388, 564, 234?

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 544, 638, 388, 564, 234.

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}.