LCM of 460, 157, 121, 440, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 157, 121, 440, 308 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 460, 157, 121, 440, 308. So, keep reading to learn more.
Given numbers are 460,157,121,440,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,157,121,440,308 is 122340680.
Find LCM of 460,157,121,440,308 with Prime Factorization
| 2 | 460, 157, 121, 440, 308 |
| 2 | 230, 157, 121, 220, 154 |
| 5 | 115, 157, 121, 110, 77 |
| 11 | 23, 157, 121, 22, 77 |
| 23, 157, 11, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 23 x 157 x 11 x 2 x 7 = 122340680
Therefore, the lowest common multiple of 460,157,121,440,308 is 122340680.
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.
460 x 157 x 121 x 440 x 308 = 1184257782400
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
157 : 1, 157
121 : 1, 11, 121
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,157,121,440,308, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
157:157
121:11x 11
440:2x 2x 2x 5x 11
308:2x 2x 7x 11
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 2x 2x 5x 11x 11 = 9680
Therefore, the value for common factors is 9680.
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 = 1184257782400/(1x9680)
LCM = 1184257782400/9680
LCM = 122340680
Thus, we can understand that the LCM of 460,157,121,440,308 is 122340680.
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FAQs on LCM of 460, 157, 121, 440, 308
1. What is the LCM of 460, 157, 121, 440, 308?
Answer: LCM of 460, 157, 121, 440, 308 is 122340680.
2. How to calculate the LCM of 460, 157, 121, 440, 308?
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 460, 157, 121, 440, 308.
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}.