LCM of 991, 355, 584, 440, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 355, 584, 440, 438 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 991, 355, 584, 440, 438. So, keep reading to learn more.
Given numbers are 991,355,584,440,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,355,584,440,438 is 6779985960.
Find LCM of 991,355,584,440,438 with Prime Factorization
| 2 | 991, 355, 584, 440, 438 |
| 2 | 991, 355, 292, 220, 219 |
| 2 | 991, 355, 146, 110, 219 |
| 5 | 991, 355, 73, 55, 219 |
| 73 | 991, 71, 73, 11, 219 |
| 991, 71, 1, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 73 x 991 x 71 x 1 x 11 x 3 = 6779985960
Therefore, the lowest common multiple of 991,355,584,440,438 is 6779985960.
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.
991 x 355 x 584 x 440 x 438 = 39595118006400
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.
991 : 1, 991
355 : 1, 5, 71, 355
584 : 1, 2, 4, 8, 73, 146, 292, 584
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,355,584,440,438, is 1.
Now, the common factors can be found like this.
991:991
355:5x 71
584:2x 2x 2x 73
440:2x 2x 2x 5x 11
438:2x 3x 73
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 2x 5x 73 = 5840
Therefore, the value for common factors is 5840.
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 = 39595118006400/(1x5840)
LCM = 39595118006400/5840
LCM = 6779985960
Thus, we can understand that the LCM of 991,355,584,440,438 is 6779985960.
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FAQs on LCM of 991, 355, 584, 440, 438
1. What is the LCM of 991, 355, 584, 440, 438?
Answer: LCM of 991, 355, 584, 440, 438 is 6779985960.
2. How to calculate the LCM of 991, 355, 584, 440, 438?
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 991, 355, 584, 440, 438.
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}.