LCM of 828, 837, 971, 819, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 837, 971, 819, 179 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 828, 837, 971, 819, 179. So, keep reading to learn more.
Given numbers are 828,837,971,819,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,837,971,819,179 is 1217942929476.
Find LCM of 828,837,971,819,179 with Prime Factorization
| 3 | 828, 837, 971, 819, 179 |
| 3 | 276, 279, 971, 273, 179 |
| 92, 93, 971, 91, 179 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 92 x 93 x 971 x 91 x 179 = 1217942929476
Therefore, the lowest common multiple of 828,837,971,819,179 is 1217942929476.
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.
828 x 837 x 971 x 819 x 179 = 98653377287556
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
837 : 1, 3, 9, 27, 31, 93, 279, 837
971 : 1, 971
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,837,971,819,179, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
837:3x 3x 3x 31
971:971
819:3x 3x 7x 13
179:179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3 = 81
Therefore, the value for common factors is 81.
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 = 98653377287556/(1x81)
LCM = 98653377287556/81
LCM = 1217942929476
Thus, we can understand that the LCM of 828,837,971,819,179 is 1217942929476.
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FAQs on LCM of 828, 837, 971, 819, 179
1. What is the LCM of 828, 837, 971, 819, 179?
Answer: LCM of 828, 837, 971, 819, 179 is 1217942929476.
2. How to calculate the LCM of 828, 837, 971, 819, 179?
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 828, 837, 971, 819, 179.
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}.