Find the LCM of 958, 387, 956, 348, 121 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 958, 387, 956, 348, 121. So, keep reading to learn more.
Given numbers are 958,387,956,348,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,387,956,348,121 is 621853007292.
Find LCM of 958,387,956,348,121 with Prime Factorization
2 | 958, 387, 956, 348, 121 |
2 | 479, 387, 478, 174, 121 |
3 | 479, 387, 239, 87, 121 |
479, 129, 239, 29, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 479 x 129 x 239 x 29 x 121 = 621853007292
Therefore, the lowest common multiple of 958,387,956,348,121 is 621853007292.
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.
958 x 387 x 956 x 348 x 121 = 14924472175008
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.
958 : 1, 2, 479, 958
387 : 1, 3, 9, 43, 129, 387
956 : 1, 2, 4, 239, 478, 956
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,387,956,348,121, is 1.
Now, the common factors can be found like this.
958:2x 479
387:3x 3x 43
956:2x 2x 239
348:2x 2x 3x 29
121:11x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 14924472175008/(1x24)
LCM = 14924472175008/24
LCM = 621853007292
Thus, we can understand that the LCM of 958,387,956,348,121 is 621853007292.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 958, 387, 956, 348, 121?
Answer: LCM of 958, 387, 956, 348, 121 is 621853007292.
2. How to calculate the LCM of 958, 387, 956, 348, 121?
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 958, 387, 956, 348, 121.
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}.