LCM of 972, 914, 735, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 914, 735, 398 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 972, 914, 735, 398. So, keep reading to learn more.
Given numbers are 972,914,735,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,914,735,398 is 21657166020.
Find LCM of 972,914,735,398 with Prime Factorization
| 2 | 972, 914, 735, 398 |
| 3 | 486, 457, 735, 199 |
| 162, 457, 245, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 162 x 457 x 245 x 199 = 21657166020
Therefore, the lowest common multiple of 972,914,735,398 is 21657166020.
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.
972 x 914 x 735 x 398 = 259885992240
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
914 : 1, 2, 457, 914
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,914,735,398, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
914:2x 457
735:3x 5x 7x 7
398:2x 199
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 3 = 12
Therefore, the value for common factors is 12.
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 = 259885992240/(1x12)
LCM = 259885992240/12
LCM = 21657166020
Thus, we can understand that the LCM of 972,914,735,398 is 21657166020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 972, 914, 735, 398
1. What is the LCM of 972, 914, 735, 398?
Answer: LCM of 972, 914, 735, 398 is 21657166020.
2. How to calculate the LCM of 972, 914, 735, 398?
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 972, 914, 735, 398.
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}.