LCM of 801, 968, 660, 803, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 968, 660, 803, 269 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 801, 968, 660, 803, 269. So, keep reading to learn more.
Given numbers are 801,968,660,803,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,968,660,803,269 is 76129507080.
Find LCM of 801,968,660,803,269 with Prime Factorization
| 2 | 801, 968, 660, 803, 269 |
| 2 | 801, 484, 330, 803, 269 |
| 3 | 801, 242, 165, 803, 269 |
| 11 | 267, 242, 55, 803, 269 |
| 267, 22, 5, 73, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 267 x 22 x 5 x 73 x 269 = 76129507080
Therefore, the lowest common multiple of 801,968,660,803,269 is 76129507080.
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.
801 x 968 x 660 x 803 x 269 = 110540044280160
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.
801 : 1, 3, 9, 89, 267, 801
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
803 : 1, 11, 73, 803
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,968,660,803,269, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
968:2x 2x 2x 11x 11
660:2x 2x 3x 5x 11
803:11x 73
269:269
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 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 110540044280160/(1x1452)
LCM = 110540044280160/1452
LCM = 76129507080
Thus, we can understand that the LCM of 801,968,660,803,269 is 76129507080.
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FAQs on LCM of 801, 968, 660, 803, 269
1. What is the LCM of 801, 968, 660, 803, 269?
Answer: LCM of 801, 968, 660, 803, 269 is 76129507080.
2. How to calculate the LCM of 801, 968, 660, 803, 269?
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 801, 968, 660, 803, 269.
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}.