LCM of 535, 315, 917, 889, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 315, 917, 889, 546 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 535, 315, 917, 889, 546. So, keep reading to learn more.
Given numbers are 535,315,917,889,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,315,917,889,546 is 14579502210.
Find LCM of 535,315,917,889,546 with Prime Factorization
| 3 | 535, 315, 917, 889, 546 |
| 5 | 535, 105, 917, 889, 182 |
| 7 | 107, 21, 917, 889, 182 |
| 107, 3, 131, 127, 26 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 107 x 3 x 131 x 127 x 26 = 14579502210
Therefore, the lowest common multiple of 535,315,917,889,546 is 14579502210.
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.
535 x 315 x 917 x 889 x 546 = 75011538870450
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.
535 : 1, 5, 107, 535
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
917 : 1, 7, 131, 917
889 : 1, 7, 127, 889
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,315,917,889,546, is 1.
Now, the common factors can be found like this.
535:5x 107
315:3x 3x 5x 7
917:7x 131
889:7x 127
546:2x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 7x 7 = 5145
Therefore, the value for common factors is 5145.
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 = 75011538870450/(1x5145)
LCM = 75011538870450/5145
LCM = 14579502210
Thus, we can understand that the LCM of 535,315,917,889,546 is 14579502210.
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FAQs on LCM of 535, 315, 917, 889, 546
1. What is the LCM of 535, 315, 917, 889, 546?
Answer: LCM of 535, 315, 917, 889, 546 is 14579502210.
2. How to calculate the LCM of 535, 315, 917, 889, 546?
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 535, 315, 917, 889, 546.
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}.