LCM of 715, 335, 847, 660, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 335, 847, 660, 140 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, 335, 847, 660, 140. So, keep reading to learn more.
Given numbers are 715,335,847,660,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,335,847,660,140 is 44264220.
Find LCM of 715,335,847,660,140 with Prime Factorization
| 2 | 715, 335, 847, 660, 140 |
| 2 | 715, 335, 847, 330, 70 |
| 5 | 715, 335, 847, 165, 35 |
| 7 | 143, 67, 847, 33, 7 |
| 11 | 143, 67, 121, 33, 1 |
| 13, 67, 11, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 13 x 67 x 11 x 3 x 1 = 44264220
Therefore, the lowest common multiple of 715,335,847,660,140 is 44264220.
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 335 x 847 x 660 x 140 = 18745897170000
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
335 : 1, 5, 67, 335
847 : 1, 7, 11, 77, 121, 847
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,335,847,660,140, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
335:5x 67
847:7x 11x 11
660:2x 2x 3x 5x 11
140:2x 2x 5x 7
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 5x 5x 5x 7x 11x 11 = 423500
Therefore, the value for common factors is 423500.
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 = 18745897170000/(1x423500)
LCM = 18745897170000/423500
LCM = 44264220
Thus, we can understand that the LCM of 715,335,847,660,140 is 44264220.
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FAQs on LCM of 715, 335, 847, 660, 140
1. What is the LCM of 715, 335, 847, 660, 140?
Answer: LCM of 715, 335, 847, 660, 140 is 44264220.
2. How to calculate the LCM of 715, 335, 847, 660, 140?
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, 335, 847, 660, 140.
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}.