LCM of 665, 531, 303, 224, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 531, 303, 224, 969 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 665, 531, 303, 224, 969. So, keep reading to learn more.
Given numbers are 665,531,303,224,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,531,303,224,969 is 19401550560.
Find LCM of 665,531,303,224,969 with Prime Factorization
| 3 | 665, 531, 303, 224, 969 |
| 7 | 665, 177, 101, 224, 323 |
| 19 | 95, 177, 101, 32, 323 |
| 5, 177, 101, 32, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 5 x 177 x 101 x 32 x 17 = 19401550560
Therefore, the lowest common multiple of 665,531,303,224,969 is 19401550560.
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.
665 x 531 x 303 x 224 x 969 = 23223656020320
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
531 : 1, 3, 9, 59, 177, 531
303 : 1, 3, 101, 303
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,531,303,224,969, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
531:3x 3x 59
303:3x 101
224:2x 2x 2x 2x 2x 7
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 19 = 1197
Therefore, the value for common factors is 1197.
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 = 23223656020320/(1x1197)
LCM = 23223656020320/1197
LCM = 19401550560
Thus, we can understand that the LCM of 665,531,303,224,969 is 19401550560.
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FAQs on LCM of 665, 531, 303, 224, 969
1. What is the LCM of 665, 531, 303, 224, 969?
Answer: LCM of 665, 531, 303, 224, 969 is 19401550560.
2. How to calculate the LCM of 665, 531, 303, 224, 969?
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 665, 531, 303, 224, 969.
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}.