LCM of 418, 722, 746, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 722, 746, 160 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, 722, 746, 160. So, keep reading to learn more.
Given numbers are 418,722,746,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,722,746,160 is 236989280.
Find LCM of 418,722,746,160 with Prime Factorization
| 2 | 418, 722, 746, 160 |
| 19 | 209, 361, 373, 80 |
| 11, 19, 373, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 11 x 19 x 373 x 80 = 236989280
Therefore, the lowest common multiple of 418,722,746,160 is 236989280.
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 722 x 746 x 160 = 36022370560
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
722 : 1, 2, 19, 38, 361, 722
746 : 1, 2, 373, 746
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,722,746,160, is 2.
Now, the common factors can be found like this.
418:2x 11x 19
722:2x 19x 19
746:2x 373
160:2x 2x 2x 2x 2x 5
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 19 = 76
Therefore, the value for common factors is 76.
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 = 36022370560/(2x76)
LCM = 36022370560/152
LCM = 236989280
Thus, we can understand that the LCM of 418,722,746,160 is 236989280.
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FAQs on LCM of 418, 722, 746, 160
1. What is the LCM of 418, 722, 746, 160?
Answer: LCM of 418, 722, 746, 160 is 236989280.
2. How to calculate the LCM of 418, 722, 746, 160?
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, 722, 746, 160.
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}.