LCM of 532, 774, 341, 270, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 774, 341, 270, 905 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, 774, 341, 270, 905. So, keep reading to learn more.
Given numbers are 532,774,341,270,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,774,341,270,905 is 190610495460.
Find LCM of 532,774,341,270,905 with Prime Factorization
| 2 | 532, 774, 341, 270, 905 |
| 3 | 266, 387, 341, 135, 905 |
| 3 | 266, 129, 341, 45, 905 |
| 5 | 266, 43, 341, 15, 905 |
| 266, 43, 341, 3, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 266 x 43 x 341 x 3 x 181 = 190610495460
Therefore, the lowest common multiple of 532,774,341,270,905 is 190610495460.
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 774 x 341 x 270 x 905 = 34309889182800
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
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
341 : 1, 11, 31, 341
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,774,341,270,905, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
774:2x 3x 3x 43
341:11x 31
270:2x 3x 3x 3x 5
905:5x 181
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 34309889182800/(1x180)
LCM = 34309889182800/180
LCM = 190610495460
Thus, we can understand that the LCM of 532,774,341,270,905 is 190610495460.
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FAQs on LCM of 532, 774, 341, 270, 905
1. What is the LCM of 532, 774, 341, 270, 905?
Answer: LCM of 532, 774, 341, 270, 905 is 190610495460.
2. How to calculate the LCM of 532, 774, 341, 270, 905?
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, 774, 341, 270, 905.
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}.