LCM of 340, 680, 946, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 340, 680, 946, 172 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 340, 680, 946, 172. So, keep reading to learn more.
Given numbers are 340,680,946,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 340,680,946,172 is 321640.
Find LCM of 340,680,946,172 with Prime Factorization
| 2 | 340, 680, 946, 172 |
| 2 | 170, 340, 473, 86 |
| 5 | 85, 170, 473, 43 |
| 17 | 17, 34, 473, 43 |
| 43 | 1, 2, 473, 43 |
| 1, 2, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 43 x 1 x 2 x 11 x 1 = 321640
Therefore, the lowest common multiple of 340,680,946,172 is 321640.
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.
340 x 680 x 946 x 172 = 37619014400
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.
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
946 : 1, 2, 11, 22, 43, 86, 473, 946
172 : 1, 2, 4, 43, 86, 172
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,680,946,172, is 2.
Now, the common factors can be found like this.
340:2x 2x 5x 17
680:2x 2x 2x 5x 17
946:2x 11x 43
172:2x 2x 43
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 17x 43 = 58480
Therefore, the value for common factors is 58480.
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 = 37619014400/(2x58480)
LCM = 37619014400/116960
LCM = 321640
Thus, we can understand that the LCM of 340,680,946,172 is 321640.
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FAQs on LCM of 340, 680, 946, 172
1. What is the LCM of 340, 680, 946, 172?
Answer: LCM of 340, 680, 946, 172 is 321640.
2. How to calculate the LCM of 340, 680, 946, 172?
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 340, 680, 946, 172.
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}.