LCM of 835, 441, 390, 476, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 441, 390, 476, 971 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 835, 441, 390, 476, 971. So, keep reading to learn more.
Given numbers are 835,441,390,476,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,441,390,476,971 is 316079667540.
Find LCM of 835,441,390,476,971 with Prime Factorization
| 2 | 835, 441, 390, 476, 971 |
| 3 | 835, 441, 195, 238, 971 |
| 5 | 835, 147, 65, 238, 971 |
| 7 | 167, 147, 13, 238, 971 |
| 167, 21, 13, 34, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 167 x 21 x 13 x 34 x 971 = 316079667540
Therefore, the lowest common multiple of 835,441,390,476,971 is 316079667540.
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.
835 x 441 x 390 x 476 x 971 = 66376730183400
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.
835 : 1, 5, 167, 835
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,441,390,476,971, is 1.
Now, the common factors can be found like this.
835:5x 167
441:3x 3x 7x 7
390:2x 3x 5x 13
476:2x 2x 7x 17
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 66376730183400/(1x210)
LCM = 66376730183400/210
LCM = 316079667540
Thus, we can understand that the LCM of 835,441,390,476,971 is 316079667540.
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FAQs on LCM of 835, 441, 390, 476, 971
1. What is the LCM of 835, 441, 390, 476, 971?
Answer: LCM of 835, 441, 390, 476, 971 is 316079667540.
2. How to calculate the LCM of 835, 441, 390, 476, 971?
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 835, 441, 390, 476, 971.
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}.