LCM of 453, 213, 240, 284, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 453, 213, 240, 284, 742 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 453, 213, 240, 284, 742. So, keep reading to learn more.
Given numbers are 453,213,240,284,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,213,240,284,742 is 954597840.
Find LCM of 453,213,240,284,742 with Prime Factorization
| 2 | 453, 213, 240, 284, 742 |
| 2 | 453, 213, 120, 142, 371 |
| 3 | 453, 213, 60, 71, 371 |
| 71 | 151, 71, 20, 71, 371 |
| 151, 1, 20, 1, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 151 x 1 x 20 x 1 x 371 = 954597840
Therefore, the lowest common multiple of 453,213,240,284,742 is 954597840.
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.
453 x 213 x 240 x 284 x 742 = 4879904158080
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.
453 : 1, 3, 151, 453
213 : 1, 3, 71, 213
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
284 : 1, 2, 4, 71, 142, 284
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,213,240,284,742, is 1.
Now, the common factors can be found like this.
453:3x 151
213:3x 71
240:2x 2x 2x 2x 3x 5
284:2x 2x 71
742:2x 7x 53
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 71 = 5112
Therefore, the value for common factors is 5112.
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 = 4879904158080/(1x5112)
LCM = 4879904158080/5112
LCM = 954597840
Thus, we can understand that the LCM of 453,213,240,284,742 is 954597840.
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FAQs on LCM of 453, 213, 240, 284, 742
1. What is the LCM of 453, 213, 240, 284, 742?
Answer: LCM of 453, 213, 240, 284, 742 is 954597840.
2. How to calculate the LCM of 453, 213, 240, 284, 742?
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 453, 213, 240, 284, 742.
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}.