LCM of 418, 113, 528, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 113, 528, 144 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 418, 113, 528, 144. So, keep reading to learn more.
Given numbers are 418,113,528,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,113,528,144 is 3400848.
Find LCM of 418,113,528,144 with Prime Factorization
| 2 | 418, 113, 528, 144 |
| 2 | 209, 113, 264, 72 |
| 2 | 209, 113, 132, 36 |
| 2 | 209, 113, 66, 18 |
| 3 | 209, 113, 33, 9 |
| 11 | 209, 113, 11, 3 |
| 19, 113, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 19 x 113 x 1 x 3 = 3400848
Therefore, the lowest common multiple of 418,113,528,144 is 3400848.
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.
418 x 113 x 528 x 144 = 3591295488
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
113 : 1, 113
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,113,528,144, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
113:113
528:2x 2x 2x 2x 3x 11
144:2x 2x 2x 2x 3x 3
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 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 3591295488/(1x1056)
LCM = 3591295488/1056
LCM = 3400848
Thus, we can understand that the LCM of 418,113,528,144 is 3400848.
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FAQs on LCM of 418, 113, 528, 144
1. What is the LCM of 418, 113, 528, 144?
Answer: LCM of 418, 113, 528, 144 is 3400848.
2. How to calculate the LCM of 418, 113, 528, 144?
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 418, 113, 528, 144.
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}.