LCM of 401, 598, 851, 514, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 598, 851, 514, 874 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 401, 598, 851, 514, 874. So, keep reading to learn more.
Given numbers are 401,598,851,514,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,598,851,514,874 is 43324544458.
Find LCM of 401,598,851,514,874 with Prime Factorization
| 2 | 401, 598, 851, 514, 874 |
| 23 | 401, 299, 851, 257, 437 |
| 401, 13, 37, 257, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 401 x 13 x 37 x 257 x 19 = 43324544458
Therefore, the lowest common multiple of 401,598,851,514,874 is 43324544458.
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.
401 x 598 x 851 x 514 x 874 = 91674736073128
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.
401 : 1, 401
598 : 1, 2, 13, 23, 26, 46, 299, 598
851 : 1, 23, 37, 851
514 : 1, 2, 257, 514
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,598,851,514,874, is 1.
Now, the common factors can be found like this.
401:401
598:2x 13x 23
851:23x 37
514:2x 257
874:2x 19x 23
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 23x 23 = 2116
Therefore, the value for common factors is 2116.
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 = 91674736073128/(1x2116)
LCM = 91674736073128/2116
LCM = 43324544458
Thus, we can understand that the LCM of 401,598,851,514,874 is 43324544458.
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FAQs on LCM of 401, 598, 851, 514, 874
1. What is the LCM of 401, 598, 851, 514, 874?
Answer: LCM of 401, 598, 851, 514, 874 is 43324544458.
2. How to calculate the LCM of 401, 598, 851, 514, 874?
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 401, 598, 851, 514, 874.
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}.