LCM of 532, 160, 768, 177, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 160, 768, 177, 646 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 532, 160, 768, 177, 646. So, keep reading to learn more.
Given numbers are 532,160,768,177,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,160,768,177,646 is 512252160.
Find LCM of 532,160,768,177,646 with Prime Factorization
| 2 | 532, 160, 768, 177, 646 |
| 2 | 266, 80, 384, 177, 323 |
| 2 | 133, 40, 192, 177, 323 |
| 2 | 133, 20, 96, 177, 323 |
| 2 | 133, 10, 48, 177, 323 |
| 3 | 133, 5, 24, 177, 323 |
| 19 | 133, 5, 8, 59, 323 |
| 7, 5, 8, 59, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 19 x 7 x 5 x 8 x 59 x 17 = 512252160
Therefore, the lowest common multiple of 532,160,768,177,646 is 512252160.
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.
532 x 160 x 768 x 177 x 646 = 7474783518720
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
177 : 1, 3, 59, 177
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,160,768,177,646, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
160:2x 2x 2x 2x 2x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
177:3x 59
646:2x 17x 19
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 3x 19 = 14592
Therefore, the value for common factors is 14592.
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 = 7474783518720/(1x14592)
LCM = 7474783518720/14592
LCM = 512252160
Thus, we can understand that the LCM of 532,160,768,177,646 is 512252160.
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FAQs on LCM of 532, 160, 768, 177, 646
1. What is the LCM of 532, 160, 768, 177, 646?
Answer: LCM of 532, 160, 768, 177, 646 is 512252160.
2. How to calculate the LCM of 532, 160, 768, 177, 646?
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 532, 160, 768, 177, 646.
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}.