LCM of 274, 310, 651, 724, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 310, 651, 724, 410 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 274, 310, 651, 724, 410. So, keep reading to learn more.
Given numbers are 274,310,651,724,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,310,651,724,410 is 13237134540.
Find LCM of 274,310,651,724,410 with Prime Factorization
| 2 | 274, 310, 651, 724, 410 |
| 5 | 137, 155, 651, 362, 205 |
| 31 | 137, 31, 651, 362, 41 |
| 137, 1, 21, 362, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 137 x 1 x 21 x 362 x 41 = 13237134540
Therefore, the lowest common multiple of 274,310,651,724,410 is 13237134540.
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.
274 x 310 x 651 x 724 x 410 = 16414046829600
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.
274 : 1, 2, 137, 274
310 : 1, 2, 5, 10, 31, 62, 155, 310
651 : 1, 3, 7, 21, 31, 93, 217, 651
724 : 1, 2, 4, 181, 362, 724
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,310,651,724,410, is 1.
Now, the common factors can be found like this.
274:2x 137
310:2x 5x 31
651:3x 7x 31
724:2x 2x 181
410:2x 5x 41
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 5x 31 = 1240
Therefore, the value for common factors is 1240.
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 = 16414046829600/(1x1240)
LCM = 16414046829600/1240
LCM = 13237134540
Thus, we can understand that the LCM of 274,310,651,724,410 is 13237134540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 274, 310, 651, 724, 410
1. What is the LCM of 274, 310, 651, 724, 410?
Answer: LCM of 274, 310, 651, 724, 410 is 13237134540.
2. How to calculate the LCM of 274, 310, 651, 724, 410?
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 274, 310, 651, 724, 410.
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}.