LCM of 218, 742, 945, 657, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 742, 945, 657, 654 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 218, 742, 945, 657, 654. So, keep reading to learn more.
Given numbers are 218,742,945,657,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,742,945,657,654 is 797052690.
Find LCM of 218,742,945,657,654 with Prime Factorization
| 2 | 218, 742, 945, 657, 654 |
| 3 | 109, 371, 945, 657, 327 |
| 3 | 109, 371, 315, 219, 109 |
| 7 | 109, 371, 105, 73, 109 |
| 109 | 109, 53, 15, 73, 109 |
| 1, 53, 15, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 109 x 1 x 53 x 15 x 73 x 1 = 797052690
Therefore, the lowest common multiple of 218,742,945,657,654 is 797052690.
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.
218 x 742 x 945 x 657 x 654 = 65680329866760
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.
218 : 1, 2, 109, 218
742 : 1, 2, 7, 14, 53, 106, 371, 742
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
657 : 1, 3, 9, 73, 219, 657
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,742,945,657,654, is 1.
Now, the common factors can be found like this.
218:2x 109
742:2x 7x 53
945:3x 3x 3x 5x 7
657:3x 3x 73
654:2x 3x 109
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 3x 3x 3x 7x 109 = 82404
Therefore, the value for common factors is 82404.
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 = 65680329866760/(1x82404)
LCM = 65680329866760/82404
LCM = 797052690
Thus, we can understand that the LCM of 218,742,945,657,654 is 797052690.
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FAQs on LCM of 218, 742, 945, 657, 654
1. What is the LCM of 218, 742, 945, 657, 654?
Answer: LCM of 218, 742, 945, 657, 654 is 797052690.
2. How to calculate the LCM of 218, 742, 945, 657, 654?
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 218, 742, 945, 657, 654.
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}.