LCM of 242, 728, 420, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 728, 420, 778 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 242, 728, 420, 778. So, keep reading to learn more.
Given numbers are 242,728,420,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,728,420,778 is 513993480.
Find LCM of 242,728,420,778 with Prime Factorization
| 2 | 242, 728, 420, 778 |
| 2 | 121, 364, 210, 389 |
| 7 | 121, 182, 105, 389 |
| 121, 26, 15, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 121 x 26 x 15 x 389 = 513993480
Therefore, the lowest common multiple of 242,728,420,778 is 513993480.
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.
242 x 728 x 420 x 778 = 57567269760
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.
242 : 1, 2, 11, 22, 121, 242
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
778 : 1, 2, 389, 778
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,728,420,778, is 2.
Now, the common factors can be found like this.
242:2x 11x 11
728:2x 2x 2x 7x 13
420:2x 2x 3x 5x 7
778:2x 389
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 7 = 56
Therefore, the value for common factors is 56.
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 = 57567269760/(2x56)
LCM = 57567269760/112
LCM = 513993480
Thus, we can understand that the LCM of 242,728,420,778 is 513993480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 242, 728, 420, 778
1. What is the LCM of 242, 728, 420, 778?
Answer: LCM of 242, 728, 420, 778 is 513993480.
2. How to calculate the LCM of 242, 728, 420, 778?
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 242, 728, 420, 778.
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}.