LCM of 834, 715, 506, 991, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 715, 506, 991, 555 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 834, 715, 506, 991, 555. So, keep reading to learn more.
Given numbers are 834,715,506,991,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,715,506,991,555 is 502892671710.
Find LCM of 834,715,506,991,555 with Prime Factorization
| 2 | 834, 715, 506, 991, 555 |
| 3 | 417, 715, 253, 991, 555 |
| 5 | 139, 715, 253, 991, 185 |
| 11 | 139, 143, 253, 991, 37 |
| 139, 13, 23, 991, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 139 x 13 x 23 x 991 x 37 = 502892671710
Therefore, the lowest common multiple of 834,715,506,991,555 is 502892671710.
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.
834 x 715 x 506 x 991 x 555 = 165954581664300
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
715 : 1, 5, 11, 13, 55, 65, 143, 715
506 : 1, 2, 11, 22, 23, 46, 253, 506
991 : 1, 991
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,715,506,991,555, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
715:5x 11x 13
506:2x 11x 23
991:991
555:3x 5x 37
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 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 165954581664300/(1x330)
LCM = 165954581664300/330
LCM = 502892671710
Thus, we can understand that the LCM of 834,715,506,991,555 is 502892671710.
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FAQs on LCM of 834, 715, 506, 991, 555
1. What is the LCM of 834, 715, 506, 991, 555?
Answer: LCM of 834, 715, 506, 991, 555 is 502892671710.
2. How to calculate the LCM of 834, 715, 506, 991, 555?
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 834, 715, 506, 991, 555.
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}.