LCM of 352, 651, 611, 509, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 651, 611, 509, 108 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 352, 651, 611, 509, 108. So, keep reading to learn more.
Given numbers are 352,651,611,509,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,651,611,509,108 is 641394385632.
Find LCM of 352,651,611,509,108 with Prime Factorization
| 2 | 352, 651, 611, 509, 108 |
| 2 | 176, 651, 611, 509, 54 |
| 3 | 88, 651, 611, 509, 27 |
| 88, 217, 611, 509, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 88 x 217 x 611 x 509 x 9 = 641394385632
Therefore, the lowest common multiple of 352,651,611,509,108 is 641394385632.
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.
352 x 651 x 611 x 509 x 108 = 7696732627584
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
651 : 1, 3, 7, 21, 31, 93, 217, 651
611 : 1, 13, 47, 611
509 : 1, 509
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,651,611,509,108, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
651:3x 7x 31
611:13x 47
509:509
108:2x 2x 3x 3x 3
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 3 = 12
Therefore, the value for common factors is 12.
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 = 7696732627584/(1x12)
LCM = 7696732627584/12
LCM = 641394385632
Thus, we can understand that the LCM of 352,651,611,509,108 is 641394385632.
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FAQs on LCM of 352, 651, 611, 509, 108
1. What is the LCM of 352, 651, 611, 509, 108?
Answer: LCM of 352, 651, 611, 509, 108 is 641394385632.
2. How to calculate the LCM of 352, 651, 611, 509, 108?
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 352, 651, 611, 509, 108.
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}.