LCM of 746, 862, 858, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 862, 858, 417 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 746, 862, 858, 417. So, keep reading to learn more.
Given numbers are 746,862,858,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,862,858,417 is 19172916906.
Find LCM of 746,862,858,417 with Prime Factorization
| 2 | 746, 862, 858, 417 |
| 3 | 373, 431, 429, 417 |
| 373, 431, 143, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 373 x 431 x 143 x 139 = 19172916906
Therefore, the lowest common multiple of 746,862,858,417 is 19172916906.
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.
746 x 862 x 858 x 417 = 230075002872
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.
746 : 1, 2, 373, 746
862 : 1, 2, 431, 862
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,862,858,417, is 1.
Now, the common factors can be found like this.
746:2x 373
862:2x 431
858:2x 3x 11x 13
417:3x 139
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 3 = 12
Therefore, the value for common factors is 12.
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 = 230075002872/(1x12)
LCM = 230075002872/12
LCM = 19172916906
Thus, we can understand that the LCM of 746,862,858,417 is 19172916906.
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FAQs on LCM of 746, 862, 858, 417
1. What is the LCM of 746, 862, 858, 417?
Answer: LCM of 746, 862, 858, 417 is 19172916906.
2. How to calculate the LCM of 746, 862, 858, 417?
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 746, 862, 858, 417.
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}.