LCM of 552, 101, 765, 309, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 101, 765, 309, 230 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 552, 101, 765, 309, 230. So, keep reading to learn more.
Given numbers are 552,101,765,309,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,101,765,309,230 is 1464326280.
Find LCM of 552,101,765,309,230 with Prime Factorization
| 2 | 552, 101, 765, 309, 230 |
| 3 | 276, 101, 765, 309, 115 |
| 5 | 92, 101, 255, 103, 115 |
| 23 | 92, 101, 51, 103, 23 |
| 4, 101, 51, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 4 x 101 x 51 x 103 x 1 = 1464326280
Therefore, the lowest common multiple of 552,101,765,309,230 is 1464326280.
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.
552 x 101 x 765 x 309 x 230 = 3031155399600
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
101 : 1, 101
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
309 : 1, 3, 103, 309
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,101,765,309,230, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
101:101
765:3x 3x 5x 17
309:3x 103
230:2x 5x 23
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 5x 23 = 2070
Therefore, the value for common factors is 2070.
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 = 3031155399600/(1x2070)
LCM = 3031155399600/2070
LCM = 1464326280
Thus, we can understand that the LCM of 552,101,765,309,230 is 1464326280.
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FAQs on LCM of 552, 101, 765, 309, 230
1. What is the LCM of 552, 101, 765, 309, 230?
Answer: LCM of 552, 101, 765, 309, 230 is 1464326280.
2. How to calculate the LCM of 552, 101, 765, 309, 230?
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 552, 101, 765, 309, 230.
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}.