LCM of 253, 678, 720, 839, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 678, 720, 839, 598 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, 678, 720, 839, 598. So, keep reading to learn more.
Given numbers are 253,678,720,839,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,678,720,839,598 is 224510560560.
Find LCM of 253,678,720,839,598 with Prime Factorization
| 2 | 253, 678, 720, 839, 598 |
| 3 | 253, 339, 360, 839, 299 |
| 23 | 253, 113, 120, 839, 299 |
| 11, 113, 120, 839, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 11 x 113 x 120 x 839 x 13 = 224510560560
Therefore, the lowest common multiple of 253,678,720,839,598 is 224510560560.
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 678 x 720 x 839 x 598 = 61964914714560
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
678 : 1, 2, 3, 6, 113, 226, 339, 678
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
839 : 1, 839
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,678,720,839,598, is 1.
Now, the common factors can be found like this.
253:11x 23
678:2x 3x 113
720:2x 2x 2x 2x 3x 3x 5
839:839
598:2x 13x 23
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 23 = 276
Therefore, the value for common factors is 276.
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 = 61964914714560/(1x276)
LCM = 61964914714560/276
LCM = 224510560560
Thus, we can understand that the LCM of 253,678,720,839,598 is 224510560560.
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FAQs on LCM of 253, 678, 720, 839, 598
1. What is the LCM of 253, 678, 720, 839, 598?
Answer: LCM of 253, 678, 720, 839, 598 is 224510560560.
2. How to calculate the LCM of 253, 678, 720, 839, 598?
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, 678, 720, 839, 598.
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}.