LCM of 715, 972, 897, 126, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 972, 897, 126, 759 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 715, 972, 897, 126, 759. So, keep reading to learn more.
Given numbers are 715,972,897,126,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,972,897,126,759 is 111891780.
Find LCM of 715,972,897,126,759 with Prime Factorization
| 2 | 715, 972, 897, 126, 759 |
| 3 | 715, 486, 897, 63, 759 |
| 3 | 715, 162, 299, 21, 253 |
| 11 | 715, 54, 299, 7, 253 |
| 13 | 65, 54, 299, 7, 23 |
| 23 | 5, 54, 23, 7, 23 |
| 5, 54, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 23 x 5 x 54 x 1 x 7 x 1 = 111891780
Therefore, the lowest common multiple of 715,972,897,126,759 is 111891780.
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.
715 x 972 x 897 x 126 x 759 = 59617954436040
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
897 : 1, 3, 13, 23, 39, 69, 299, 897
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,972,897,126,759, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
972:2x 2x 3x 3x 3x 3x 3
897:3x 13x 23
126:2x 3x 3x 7
759:3x 11x 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 3x 3x 3x 3x 11x 13x 23 = 532818
Therefore, the value for common factors is 532818.
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 = 59617954436040/(1x532818)
LCM = 59617954436040/532818
LCM = 111891780
Thus, we can understand that the LCM of 715,972,897,126,759 is 111891780.
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FAQs on LCM of 715, 972, 897, 126, 759
1. What is the LCM of 715, 972, 897, 126, 759?
Answer: LCM of 715, 972, 897, 126, 759 is 111891780.
2. How to calculate the LCM of 715, 972, 897, 126, 759?
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 715, 972, 897, 126, 759.
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}.