LCM of 340, 195, 756, 609, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 340, 195, 756, 609, 762 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, 195, 756, 609, 762. So, keep reading to learn more.
Given numbers are 340,195,756,609,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 340,195,756,609,762 is 3076704540.
Find LCM of 340,195,756,609,762 with Prime Factorization
| 2 | 340, 195, 756, 609, 762 |
| 2 | 170, 195, 378, 609, 381 |
| 3 | 85, 195, 189, 609, 381 |
| 5 | 85, 65, 63, 203, 127 |
| 7 | 17, 13, 63, 203, 127 |
| 17, 13, 9, 29, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 17 x 13 x 9 x 29 x 127 = 3076704540
Therefore, the lowest common multiple of 340,195,756,609,762 is 3076704540.
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 195 x 756 x 609 x 762 = 23259886322400
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
195 : 1, 3, 5, 13, 15, 39, 65, 195
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
609 : 1, 3, 7, 21, 29, 87, 203, 609
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,195,756,609,762, is 1.
Now, the common factors can be found like this.
340:2x 2x 5x 17
195:3x 5x 13
756:2x 2x 3x 3x 3x 7
609:3x 7x 29
762:2x 3x 127
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 3x 3x 3x 5x 7 = 7560
Therefore, the value for common factors is 7560.
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 = 23259886322400/(1x7560)
LCM = 23259886322400/7560
LCM = 3076704540
Thus, we can understand that the LCM of 340,195,756,609,762 is 3076704540.
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FAQs on LCM of 340, 195, 756, 609, 762
1. What is the LCM of 340, 195, 756, 609, 762?
Answer: LCM of 340, 195, 756, 609, 762 is 3076704540.
2. How to calculate the LCM of 340, 195, 756, 609, 762?
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, 195, 756, 609, 762.
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}.