LCM of 691, 780, 891, 653, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 691, 780, 891, 653, 605 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 691, 780, 891, 653, 605. So, keep reading to learn more.
Given numbers are 691,780,891,653,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,780,891,653,605 is 1149833521980.
Find LCM of 691,780,891,653,605 with Prime Factorization
| 3 | 691, 780, 891, 653, 605 |
| 5 | 691, 260, 297, 653, 605 |
| 11 | 691, 52, 297, 653, 121 |
| 691, 52, 27, 653, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 691 x 52 x 27 x 653 x 11 = 1149833521980
Therefore, the lowest common multiple of 691,780,891,653,605 is 1149833521980.
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.
691 x 780 x 891 x 653 x 605 = 189722531126700
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.
691 : 1, 691
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
653 : 1, 653
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,780,891,653,605, is 1.
Now, the common factors can be found like this.
691:691
780:2x 2x 3x 5x 13
891:3x 3x 3x 3x 11
653:653
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 189722531126700/(1x165)
LCM = 189722531126700/165
LCM = 1149833521980
Thus, we can understand that the LCM of 691,780,891,653,605 is 1149833521980.
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FAQs on LCM of 691, 780, 891, 653, 605
1. What is the LCM of 691, 780, 891, 653, 605?
Answer: LCM of 691, 780, 891, 653, 605 is 1149833521980.
2. How to calculate the LCM of 691, 780, 891, 653, 605?
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 691, 780, 891, 653, 605.
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}.