LCM of 958, 972, 705, 870, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 972, 705, 870, 324 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, 972, 705, 870, 324. So, keep reading to learn more.
Given numbers are 958,972,705,870,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,972,705,870,324 is 3172982220.
Find LCM of 958,972,705,870,324 with Prime Factorization
| 2 | 958, 972, 705, 870, 324 |
| 2 | 479, 486, 705, 435, 162 |
| 3 | 479, 243, 705, 435, 81 |
| 3 | 479, 27, 235, 145, 81 |
| 3 | 479, 9, 235, 145, 27 |
| 3 | 479, 3, 235, 145, 9 |
| 5 | 479, 1, 235, 145, 3 |
| 479, 1, 47, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 5 x 479 x 1 x 47 x 29 x 3 = 3172982220
Therefore, the lowest common multiple of 958,972,705,870,324 is 3172982220.
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 972 x 705 x 870 x 324 = 185048323070400
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
705 : 1, 3, 5, 15, 47, 141, 235, 705
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,972,705,870,324, is 1.
Now, the common factors can be found like this.
958:2x 479
972:2x 2x 3x 3x 3x 3x 3
705:3x 5x 47
870:2x 3x 5x 29
324:2x 2x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 3x 5 = 58320
Therefore, the value for common factors is 58320.
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 = 185048323070400/(1x58320)
LCM = 185048323070400/58320
LCM = 3172982220
Thus, we can understand that the LCM of 958,972,705,870,324 is 3172982220.
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FAQs on LCM of 958, 972, 705, 870, 324
1. What is the LCM of 958, 972, 705, 870, 324?
Answer: LCM of 958, 972, 705, 870, 324 is 3172982220.
2. How to calculate the LCM of 958, 972, 705, 870, 324?
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, 972, 705, 870, 324.
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}.