LCM of 654, 902, 827, 611, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 902, 827, 611, 288 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 654, 902, 827, 611, 288. So, keep reading to learn more.
Given numbers are 654,902,827,611,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,902,827,611,288 is 7153889824224.
Find LCM of 654,902,827,611,288 with Prime Factorization
| 2 | 654, 902, 827, 611, 288 |
| 3 | 327, 451, 827, 611, 144 |
| 109, 451, 827, 611, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 451 x 827 x 611 x 48 = 7153889824224
Therefore, the lowest common multiple of 654,902,827,611,288 is 7153889824224.
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.
654 x 902 x 827 x 611 x 288 = 85846677890688
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
902 : 1, 2, 11, 22, 41, 82, 451, 902
827 : 1, 827
611 : 1, 13, 47, 611
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,902,827,611,288, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
902:2x 11x 41
827:827
611:13x 47
288:2x 2x 2x 2x 2x 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 = 85846677890688/(1x12)
LCM = 85846677890688/12
LCM = 7153889824224
Thus, we can understand that the LCM of 654,902,827,611,288 is 7153889824224.
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FAQs on LCM of 654, 902, 827, 611, 288
1. What is the LCM of 654, 902, 827, 611, 288?
Answer: LCM of 654, 902, 827, 611, 288 is 7153889824224.
2. How to calculate the LCM of 654, 902, 827, 611, 288?
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 654, 902, 827, 611, 288.
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}.