LCM of 418, 241, 649, 482, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 241, 649, 482, 726 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 418, 241, 649, 482, 726. So, keep reading to learn more.
Given numbers are 418,241,649,482,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,241,649,482,726 is 196136886.
Find LCM of 418,241,649,482,726 with Prime Factorization
| 2 | 418, 241, 649, 482, 726 |
| 11 | 209, 241, 649, 241, 363 |
| 241 | 19, 241, 59, 241, 33 |
| 19, 1, 59, 1, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 241 x 19 x 1 x 59 x 1 x 33 = 196136886
Therefore, the lowest common multiple of 418,241,649,482,726 is 196136886.
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.
418 x 241 x 649 x 482 x 726 = 22878190930584
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
241 : 1, 241
649 : 1, 11, 59, 649
482 : 1, 2, 241, 482
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,241,649,482,726, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
241:241
649:11x 59
482:2x 241
726:2x 3x 11x 11
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 11x 11x 241 = 116644
Therefore, the value for common factors is 116644.
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 = 22878190930584/(1x116644)
LCM = 22878190930584/116644
LCM = 196136886
Thus, we can understand that the LCM of 418,241,649,482,726 is 196136886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 241, 649, 482, 726
1. What is the LCM of 418, 241, 649, 482, 726?
Answer: LCM of 418, 241, 649, 482, 726 is 196136886.
2. How to calculate the LCM of 418, 241, 649, 482, 726?
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 418, 241, 649, 482, 726.
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}.