LCM of 398, 652, 138, 237, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 652, 138, 237, 966 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 398, 652, 138, 237, 966. So, keep reading to learn more.
Given numbers are 398,652,138,237,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,652,138,237,966 is 4950794436.
Find LCM of 398,652,138,237,966 with Prime Factorization
| 2 | 398, 652, 138, 237, 966 |
| 3 | 199, 326, 69, 237, 483 |
| 23 | 199, 326, 23, 79, 161 |
| 199, 326, 1, 79, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 199 x 326 x 1 x 79 x 7 = 4950794436
Therefore, the lowest common multiple of 398,652,138,237,966 is 4950794436.
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.
398 x 652 x 138 x 237 x 966 = 8198515586016
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.
398 : 1, 2, 199, 398
652 : 1, 2, 4, 163, 326, 652
138 : 1, 2, 3, 6, 23, 46, 69, 138
237 : 1, 3, 79, 237
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,652,138,237,966, is 1.
Now, the common factors can be found like this.
398:2x 199
652:2x 2x 163
138:2x 3x 23
237:3x 79
966:2x 3x 7x 23
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 23 = 1656
Therefore, the value for common factors is 1656.
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 = 8198515586016/(1x1656)
LCM = 8198515586016/1656
LCM = 4950794436
Thus, we can understand that the LCM of 398,652,138,237,966 is 4950794436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 652, 138, 237, 966
1. What is the LCM of 398, 652, 138, 237, 966?
Answer: LCM of 398, 652, 138, 237, 966 is 4950794436.
2. How to calculate the LCM of 398, 652, 138, 237, 966?
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 398, 652, 138, 237, 966.
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}.