LCM of 302, 243, 760, 665, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 243, 760, 665, 141 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 302, 243, 760, 665, 141. So, keep reading to learn more.
Given numbers are 302,243,760,665,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,243,760,665,141 is 9174717720.
Find LCM of 302,243,760,665,141 with Prime Factorization
| 2 | 302, 243, 760, 665, 141 |
| 3 | 151, 243, 380, 665, 141 |
| 5 | 151, 81, 380, 665, 47 |
| 19 | 151, 81, 76, 133, 47 |
| 151, 81, 4, 7, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 151 x 81 x 4 x 7 x 47 = 9174717720
Therefore, the lowest common multiple of 302,243,760,665,141 is 9174717720.
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.
302 x 243 x 760 x 665 x 141 = 5229589100400
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.
302 : 1, 2, 151, 302
243 : 1, 3, 9, 27, 81, 243
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
665 : 1, 5, 7, 19, 35, 95, 133, 665
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,243,760,665,141, is 1.
Now, the common factors can be found like this.
302:2x 151
243:3x 3x 3x 3x 3
760:2x 2x 2x 5x 19
665:5x 7x 19
141:3x 47
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 5x 19 = 570
Therefore, the value for common factors is 570.
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 = 5229589100400/(1x570)
LCM = 5229589100400/570
LCM = 9174717720
Thus, we can understand that the LCM of 302,243,760,665,141 is 9174717720.
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FAQs on LCM of 302, 243, 760, 665, 141
1. What is the LCM of 302, 243, 760, 665, 141?
Answer: LCM of 302, 243, 760, 665, 141 is 9174717720.
2. How to calculate the LCM of 302, 243, 760, 665, 141?
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 302, 243, 760, 665, 141.
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}.