LCM of 326, 376, 821, 893, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 376, 821, 893, 988 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 326, 376, 821, 893, 988. So, keep reading to learn more.
Given numbers are 326,376,821,893,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,376,821,893,988 is 12428409656.
Find LCM of 326,376,821,893,988 with Prime Factorization
| 2 | 326, 376, 821, 893, 988 |
| 2 | 163, 188, 821, 893, 494 |
| 19 | 163, 94, 821, 893, 247 |
| 47 | 163, 94, 821, 47, 13 |
| 163, 2, 821, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 47 x 163 x 2 x 821 x 1 x 13 = 12428409656
Therefore, the lowest common multiple of 326,376,821,893,988 is 12428409656.
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.
326 x 376 x 821 x 893 x 988 = 88788558582464
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.
326 : 1, 2, 163, 326
376 : 1, 2, 4, 8, 47, 94, 188, 376
821 : 1, 821
893 : 1, 19, 47, 893
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,376,821,893,988, is 1.
Now, the common factors can be found like this.
326:2x 163
376:2x 2x 2x 47
821:821
893:19x 47
988:2x 2x 13x 19
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 2x 19x 47 = 7144
Therefore, the value for common factors is 7144.
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 = 88788558582464/(1x7144)
LCM = 88788558582464/7144
LCM = 12428409656
Thus, we can understand that the LCM of 326,376,821,893,988 is 12428409656.
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FAQs on LCM of 326, 376, 821, 893, 988
1. What is the LCM of 326, 376, 821, 893, 988?
Answer: LCM of 326, 376, 821, 893, 988 is 12428409656.
2. How to calculate the LCM of 326, 376, 821, 893, 988?
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 326, 376, 821, 893, 988.
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}.