LCM of 645, 724, 946, 540, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 724, 946, 540, 727 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 645, 724, 946, 540, 727. So, keep reading to learn more.
Given numbers are 645,724,946,540,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,724,946,540,727 is 33609951540.
Find LCM of 645,724,946,540,727 with Prime Factorization
| 2 | 645, 724, 946, 540, 727 |
| 2 | 645, 362, 473, 270, 727 |
| 3 | 645, 181, 473, 135, 727 |
| 5 | 215, 181, 473, 45, 727 |
| 43 | 43, 181, 473, 9, 727 |
| 1, 181, 11, 9, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 1 x 181 x 11 x 9 x 727 = 33609951540
Therefore, the lowest common multiple of 645,724,946,540,727 is 33609951540.
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.
645 x 724 x 946 x 540 x 727 = 173427349946400
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
724 : 1, 2, 4, 181, 362, 724
946 : 1, 2, 11, 22, 43, 86, 473, 946
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,724,946,540,727, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
724:2x 2x 181
946:2x 11x 43
540:2x 2x 3x 3x 3x 5
727:727
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 5x 43 = 5160
Therefore, the value for common factors is 5160.
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 = 173427349946400/(1x5160)
LCM = 173427349946400/5160
LCM = 33609951540
Thus, we can understand that the LCM of 645,724,946,540,727 is 33609951540.
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FAQs on LCM of 645, 724, 946, 540, 727
1. What is the LCM of 645, 724, 946, 540, 727?
Answer: LCM of 645, 724, 946, 540, 727 is 33609951540.
2. How to calculate the LCM of 645, 724, 946, 540, 727?
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 645, 724, 946, 540, 727.
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}.