LCM of 627, 314, 962, 220, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 314, 962, 220, 567 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 627, 314, 962, 220, 567. So, keep reading to learn more.
Given numbers are 627,314,962,220,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,314,962,220,567 is 178979821020.
Find LCM of 627,314,962,220,567 with Prime Factorization
| 2 | 627, 314, 962, 220, 567 |
| 3 | 627, 157, 481, 110, 567 |
| 11 | 209, 157, 481, 110, 189 |
| 19, 157, 481, 10, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 157 x 481 x 10 x 189 = 178979821020
Therefore, the lowest common multiple of 627,314,962,220,567 is 178979821020.
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.
627 x 314 x 962 x 220 x 567 = 23625336374640
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
314 : 1, 2, 157, 314
962 : 1, 2, 13, 26, 37, 74, 481, 962
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,314,962,220,567, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
314:2x 157
962:2x 13x 37
220:2x 2x 5x 11
567:3x 3x 3x 3x 7
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 11 = 132
Therefore, the value for common factors is 132.
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 = 23625336374640/(1x132)
LCM = 23625336374640/132
LCM = 178979821020
Thus, we can understand that the LCM of 627,314,962,220,567 is 178979821020.
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FAQs on LCM of 627, 314, 962, 220, 567
1. What is the LCM of 627, 314, 962, 220, 567?
Answer: LCM of 627, 314, 962, 220, 567 is 178979821020.
2. How to calculate the LCM of 627, 314, 962, 220, 567?
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 627, 314, 962, 220, 567.
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}.