LCM of 605, 270, 346, 307, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 270, 346, 307, 902 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 605, 270, 346, 307, 902. So, keep reading to learn more.
Given numbers are 605,270,346,307,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,270,346,307,902 is 71140591170.
Find LCM of 605,270,346,307,902 with Prime Factorization
| 2 | 605, 270, 346, 307, 902 |
| 5 | 605, 135, 173, 307, 451 |
| 11 | 121, 27, 173, 307, 451 |
| 11, 27, 173, 307, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 11 x 27 x 173 x 307 x 41 = 71140591170
Therefore, the lowest common multiple of 605,270,346,307,902 is 71140591170.
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.
605 x 270 x 346 x 307 x 902 = 15650930057400
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.
605 : 1, 5, 11, 55, 121, 605
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
346 : 1, 2, 173, 346
307 : 1, 307
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,270,346,307,902, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
270:2x 3x 3x 3x 5
346:2x 173
307:307
902:2x 11x 41
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 15650930057400/(1x220)
LCM = 15650930057400/220
LCM = 71140591170
Thus, we can understand that the LCM of 605,270,346,307,902 is 71140591170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 270, 346, 307, 902
1. What is the LCM of 605, 270, 346, 307, 902?
Answer: LCM of 605, 270, 346, 307, 902 is 71140591170.
2. How to calculate the LCM of 605, 270, 346, 307, 902?
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 605, 270, 346, 307, 902.
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}.