LCM of 220, 169, 494, 807, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 169, 494, 807, 132 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 220, 169, 494, 807, 132. So, keep reading to learn more.
Given numbers are 220,169,494,807,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,169,494,807,132 is 570080940.
Find LCM of 220,169,494,807,132 with Prime Factorization
| 2 | 220, 169, 494, 807, 132 |
| 2 | 110, 169, 247, 807, 66 |
| 3 | 55, 169, 247, 807, 33 |
| 11 | 55, 169, 247, 269, 11 |
| 13 | 5, 169, 247, 269, 1 |
| 5, 13, 19, 269, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 5 x 13 x 19 x 269 x 1 = 570080940
Therefore, the lowest common multiple of 220,169,494,807,132 is 570080940.
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.
220 x 169 x 494 x 807 x 132 = 1956517786080
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
169 : 1, 13, 169
494 : 1, 2, 13, 19, 26, 38, 247, 494
807 : 1, 3, 269, 807
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,169,494,807,132, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
169:13x 13
494:2x 13x 19
807:3x 269
132:2x 2x 3x 11
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 3x 11x 13 = 3432
Therefore, the value for common factors is 3432.
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 = 1956517786080/(1x3432)
LCM = 1956517786080/3432
LCM = 570080940
Thus, we can understand that the LCM of 220,169,494,807,132 is 570080940.
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FAQs on LCM of 220, 169, 494, 807, 132
1. What is the LCM of 220, 169, 494, 807, 132?
Answer: LCM of 220, 169, 494, 807, 132 is 570080940.
2. How to calculate the LCM of 220, 169, 494, 807, 132?
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 220, 169, 494, 807, 132.
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}.