LCM of 661, 840, 664, 867, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 840, 664, 867, 538 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 661, 840, 664, 867, 538. So, keep reading to learn more.
Given numbers are 661,840,664,867,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,840,664,867,538 is 3582687765720.
Find LCM of 661,840,664,867,538 with Prime Factorization
| 2 | 661, 840, 664, 867, 538 |
| 2 | 661, 420, 332, 867, 269 |
| 2 | 661, 210, 166, 867, 269 |
| 3 | 661, 105, 83, 867, 269 |
| 661, 35, 83, 289, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 661 x 35 x 83 x 289 x 269 = 3582687765720
Therefore, the lowest common multiple of 661,840,664,867,538 is 3582687765720.
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.
661 x 840 x 664 x 867 x 538 = 171969012754560
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.
661 : 1, 661
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
664 : 1, 2, 4, 8, 83, 166, 332, 664
867 : 1, 3, 17, 51, 289, 867
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,840,664,867,538, is 1.
Now, the common factors can be found like this.
661:661
840:2x 2x 2x 3x 5x 7
664:2x 2x 2x 83
867:3x 17x 17
538:2x 269
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 3 = 48
Therefore, the value for common factors is 48.
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 = 171969012754560/(1x48)
LCM = 171969012754560/48
LCM = 3582687765720
Thus, we can understand that the LCM of 661,840,664,867,538 is 3582687765720.
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FAQs on LCM of 661, 840, 664, 867, 538
1. What is the LCM of 661, 840, 664, 867, 538?
Answer: LCM of 661, 840, 664, 867, 538 is 3582687765720.
2. How to calculate the LCM of 661, 840, 664, 867, 538?
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 661, 840, 664, 867, 538.
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}.