LCM of 959, 764, 558, 955, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 764, 558, 955, 396 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 959, 764, 558, 955, 396. So, keep reading to learn more.
Given numbers are 959,764,558,955,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,764,558,955,396 is 11242913220.
Find LCM of 959,764,558,955,396 with Prime Factorization
| 2 | 959, 764, 558, 955, 396 |
| 2 | 959, 382, 279, 955, 198 |
| 3 | 959, 191, 279, 955, 99 |
| 3 | 959, 191, 93, 955, 33 |
| 191 | 959, 191, 31, 955, 11 |
| 959, 1, 31, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 191 x 959 x 1 x 31 x 5 x 11 = 11242913220
Therefore, the lowest common multiple of 959,764,558,955,396 is 11242913220.
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.
959 x 764 x 558 x 955 x 396 = 154612542601440
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.
959 : 1, 7, 137, 959
764 : 1, 2, 4, 191, 382, 764
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
955 : 1, 5, 191, 955
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,764,558,955,396, is 1.
Now, the common factors can be found like this.
959:7x 137
764:2x 2x 191
558:2x 3x 3x 31
955:5x 191
396:2x 2x 3x 3x 11
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 3x 3x 191 = 13752
Therefore, the value for common factors is 13752.
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 = 154612542601440/(1x13752)
LCM = 154612542601440/13752
LCM = 11242913220
Thus, we can understand that the LCM of 959,764,558,955,396 is 11242913220.
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FAQs on LCM of 959, 764, 558, 955, 396
1. What is the LCM of 959, 764, 558, 955, 396?
Answer: LCM of 959, 764, 558, 955, 396 is 11242913220.
2. How to calculate the LCM of 959, 764, 558, 955, 396?
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 959, 764, 558, 955, 396.
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}.