LCM of 513, 612, 711, 142, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 612, 711, 142, 226 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 513, 612, 711, 142, 226. So, keep reading to learn more.
Given numbers are 513,612,711,142,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,612,711,142,226 is 22110072228.
Find LCM of 513,612,711,142,226 with Prime Factorization
| 2 | 513, 612, 711, 142, 226 |
| 3 | 513, 306, 711, 71, 113 |
| 3 | 171, 102, 237, 71, 113 |
| 57, 34, 79, 71, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 57 x 34 x 79 x 71 x 113 = 22110072228
Therefore, the lowest common multiple of 513,612,711,142,226 is 22110072228.
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.
513 x 612 x 711 x 142 x 226 = 7163663401872
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
711 : 1, 3, 9, 79, 237, 711
142 : 1, 2, 71, 142
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,612,711,142,226, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
612:2x 2x 3x 3x 17
711:3x 3x 79
142:2x 71
226:2x 113
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 7163663401872/(1x324)
LCM = 7163663401872/324
LCM = 22110072228
Thus, we can understand that the LCM of 513,612,711,142,226 is 22110072228.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 612, 711, 142, 226
1. What is the LCM of 513, 612, 711, 142, 226?
Answer: LCM of 513, 612, 711, 142, 226 is 22110072228.
2. How to calculate the LCM of 513, 612, 711, 142, 226?
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 513, 612, 711, 142, 226.
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}.