LCM of 793, 210, 548, 270, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 210, 548, 270, 274 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 793, 210, 548, 270, 274. So, keep reading to learn more.
Given numbers are 793,210,548,270,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,210,548,270,274 is 410662980.
Find LCM of 793,210,548,270,274 with Prime Factorization
| 2 | 793, 210, 548, 270, 274 |
| 3 | 793, 105, 274, 135, 137 |
| 5 | 793, 35, 274, 45, 137 |
| 137 | 793, 7, 274, 9, 137 |
| 793, 7, 2, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 137 x 793 x 7 x 2 x 9 x 1 = 410662980
Therefore, the lowest common multiple of 793,210,548,270,274 is 410662980.
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.
793 x 210 x 548 x 270 x 274 = 6751299391200
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.
793 : 1, 13, 61, 793
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
548 : 1, 2, 4, 137, 274, 548
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,210,548,270,274, is 1.
Now, the common factors can be found like this.
793:13x 61
210:2x 3x 5x 7
548:2x 2x 137
270:2x 3x 3x 3x 5
274:2x 137
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 5x 137 = 16440
Therefore, the value for common factors is 16440.
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 = 6751299391200/(1x16440)
LCM = 6751299391200/16440
LCM = 410662980
Thus, we can understand that the LCM of 793,210,548,270,274 is 410662980.
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FAQs on LCM of 793, 210, 548, 270, 274
1. What is the LCM of 793, 210, 548, 270, 274?
Answer: LCM of 793, 210, 548, 270, 274 is 410662980.
2. How to calculate the LCM of 793, 210, 548, 270, 274?
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 793, 210, 548, 270, 274.
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}.