LCM of 558, 627, 143, 234, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 627, 143, 234, 967 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 558, 627, 143, 234, 967. So, keep reading to learn more.
Given numbers are 558,627,143,234,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,627,143,234,967 is 1466055162.
Find LCM of 558,627,143,234,967 with Prime Factorization
| 2 | 558, 627, 143, 234, 967 |
| 3 | 279, 627, 143, 117, 967 |
| 3 | 93, 209, 143, 39, 967 |
| 11 | 31, 209, 143, 13, 967 |
| 13 | 31, 19, 13, 13, 967 |
| 31, 19, 1, 1, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 31 x 19 x 1 x 1 x 967 = 1466055162
Therefore, the lowest common multiple of 558,627,143,234,967 is 1466055162.
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.
558 x 627 x 143 x 234 x 967 = 11320877960964
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
627 : 1, 3, 11, 19, 33, 57, 209, 627
143 : 1, 11, 13, 143
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,627,143,234,967, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
627:3x 11x 19
143:11x 13
234:2x 3x 3x 13
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 13 = 7722
Therefore, the value for common factors is 7722.
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 = 11320877960964/(1x7722)
LCM = 11320877960964/7722
LCM = 1466055162
Thus, we can understand that the LCM of 558,627,143,234,967 is 1466055162.
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FAQs on LCM of 558, 627, 143, 234, 967
1. What is the LCM of 558, 627, 143, 234, 967?
Answer: LCM of 558, 627, 143, 234, 967 is 1466055162.
2. How to calculate the LCM of 558, 627, 143, 234, 967?
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 558, 627, 143, 234, 967.
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}.