LCM of 511, 112, 627, 219, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 112, 627, 219, 628 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 511, 112, 627, 219, 628. So, keep reading to learn more.
Given numbers are 511,112,627,219,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,112,627,219,628 is 804837264.
Find LCM of 511,112,627,219,628 with Prime Factorization
| 2 | 511, 112, 627, 219, 628 |
| 2 | 511, 56, 627, 219, 314 |
| 3 | 511, 28, 627, 219, 157 |
| 7 | 511, 28, 209, 73, 157 |
| 73 | 73, 4, 209, 73, 157 |
| 1, 4, 209, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 73 x 1 x 4 x 209 x 1 x 157 = 804837264
Therefore, the lowest common multiple of 511,112,627,219,628 is 804837264.
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.
511 x 112 x 627 x 219 x 628 = 4935262102848
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.
511 : 1, 7, 73, 511
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
627 : 1, 3, 11, 19, 33, 57, 209, 627
219 : 1, 3, 73, 219
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,112,627,219,628, is 1.
Now, the common factors can be found like this.
511:7x 73
112:2x 2x 2x 2x 7
627:3x 11x 19
219:3x 73
628:2x 2x 157
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 7x 73 = 6132
Therefore, the value for common factors is 6132.
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 = 4935262102848/(1x6132)
LCM = 4935262102848/6132
LCM = 804837264
Thus, we can understand that the LCM of 511,112,627,219,628 is 804837264.
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FAQs on LCM of 511, 112, 627, 219, 628
1. What is the LCM of 511, 112, 627, 219, 628?
Answer: LCM of 511, 112, 627, 219, 628 is 804837264.
2. How to calculate the LCM of 511, 112, 627, 219, 628?
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 511, 112, 627, 219, 628.
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}.