LCM of 544, 411, 170, 456, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 411, 170, 456, 736 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, 411, 170, 456, 736. So, keep reading to learn more.
Given numbers are 544,411,170,456,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,411,170,456,736 is 488531040.
Find LCM of 544,411,170,456,736 with Prime Factorization
| 2 | 544, 411, 170, 456, 736 |
| 2 | 272, 411, 85, 228, 368 |
| 2 | 136, 411, 85, 114, 184 |
| 2 | 68, 411, 85, 57, 92 |
| 2 | 34, 411, 85, 57, 46 |
| 3 | 17, 411, 85, 57, 23 |
| 17 | 17, 137, 85, 19, 23 |
| 1, 137, 5, 19, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 17 x 1 x 137 x 5 x 19 x 23 = 488531040
Therefore, the lowest common multiple of 544,411,170,456,736 is 488531040.
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 411 x 170 x 456 x 736 = 12756522516480
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
411 : 1, 3, 137, 411
170 : 1, 2, 5, 10, 17, 34, 85, 170
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,411,170,456,736, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
411:3x 137
170:2x 5x 17
456:2x 2x 2x 3x 19
736:2x 2x 2x 2x 2x 23
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 2x 2x 2x 2x 3x 17 = 26112
Therefore, the value for common factors is 26112.
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 = 12756522516480/(1x26112)
LCM = 12756522516480/26112
LCM = 488531040
Thus, we can understand that the LCM of 544,411,170,456,736 is 488531040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 544, 411, 170, 456, 736
1. What is the LCM of 544, 411, 170, 456, 736?
Answer: LCM of 544, 411, 170, 456, 736 is 488531040.
2. How to calculate the LCM of 544, 411, 170, 456, 736?
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, 411, 170, 456, 736.
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}.