LCM of 253, 592, 218, 287, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 592, 218, 287, 962 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 253, 592, 218, 287, 962. So, keep reading to learn more.
Given numbers are 253,592,218,287,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,592,218,287,962 is 60910753904.
Find LCM of 253,592,218,287,962 with Prime Factorization
| 2 | 253, 592, 218, 287, 962 |
| 37 | 253, 296, 109, 287, 481 |
| 253, 8, 109, 287, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 253 x 8 x 109 x 287 x 13 = 60910753904
Therefore, the lowest common multiple of 253,592,218,287,962 is 60910753904.
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.
253 x 592 x 218 x 287 x 962 = 9014791577792
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.
253 : 1, 11, 23, 253
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
218 : 1, 2, 109, 218
287 : 1, 7, 41, 287
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,592,218,287,962, is 1.
Now, the common factors can be found like this.
253:11x 23
592:2x 2x 2x 2x 37
218:2x 109
287:7x 41
962:2x 13x 37
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 37 = 148
Therefore, the value for common factors is 148.
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 = 9014791577792/(1x148)
LCM = 9014791577792/148
LCM = 60910753904
Thus, we can understand that the LCM of 253,592,218,287,962 is 60910753904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 592, 218, 287, 962
1. What is the LCM of 253, 592, 218, 287, 962?
Answer: LCM of 253, 592, 218, 287, 962 is 60910753904.
2. How to calculate the LCM of 253, 592, 218, 287, 962?
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 253, 592, 218, 287, 962.
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}.