LCM of 714, 987, 893, 972, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 987, 893, 972, 705 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 714, 987, 893, 972, 705. So, keep reading to learn more.
Given numbers are 714,987,893,972,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,987,893,972,705 is 516457620.
Find LCM of 714,987,893,972,705 with Prime Factorization
| 2 | 714, 987, 893, 972, 705 |
| 3 | 357, 987, 893, 486, 705 |
| 7 | 119, 329, 893, 162, 235 |
| 47 | 17, 47, 893, 162, 235 |
| 17, 1, 19, 162, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 17 x 1 x 19 x 162 x 5 = 516457620
Therefore, the lowest common multiple of 714,987,893,972,705 is 516457620.
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.
714 x 987 x 893 x 972 x 705 = 431243145615240
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
987 : 1, 3, 7, 21, 47, 141, 329, 987
893 : 1, 19, 47, 893
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,987,893,972,705, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
987:3x 7x 47
893:19x 47
972:2x 2x 3x 3x 3x 3x 3
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 47x 47 = 835002
Therefore, the value for common factors is 835002.
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 = 431243145615240/(1x835002)
LCM = 431243145615240/835002
LCM = 516457620
Thus, we can understand that the LCM of 714,987,893,972,705 is 516457620.
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FAQs on LCM of 714, 987, 893, 972, 705
1. What is the LCM of 714, 987, 893, 972, 705?
Answer: LCM of 714, 987, 893, 972, 705 is 516457620.
2. How to calculate the LCM of 714, 987, 893, 972, 705?
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 714, 987, 893, 972, 705.
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}.