LCM of 676, 690, 897, 765, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 690, 897, 765, 840 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 676, 690, 897, 765, 840. So, keep reading to learn more.
Given numbers are 676,690,897,765,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,690,897,765,840 is 166519080.
Find LCM of 676,690,897,765,840 with Prime Factorization
| 2 | 676, 690, 897, 765, 840 |
| 2 | 338, 345, 897, 765, 420 |
| 3 | 169, 345, 897, 765, 210 |
| 5 | 169, 115, 299, 255, 70 |
| 13 | 169, 23, 299, 51, 14 |
| 23 | 13, 23, 23, 51, 14 |
| 13, 1, 1, 51, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 23 x 13 x 1 x 1 x 51 x 14 = 166519080
Therefore, the lowest common multiple of 676,690,897,765,840 is 166519080.
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.
676 x 690 x 897 x 765 x 840 = 268861706568000
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
897 : 1, 3, 13, 23, 39, 69, 299, 897
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,690,897,765,840, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
690:2x 3x 5x 23
897:3x 13x 23
765:3x 3x 5x 17
840:2x 2x 2x 3x 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 2x 3x 3x 3x 5x 5x 13x 23 = 1614600
Therefore, the value for common factors is 1614600.
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 = 268861706568000/(1x1614600)
LCM = 268861706568000/1614600
LCM = 166519080
Thus, we can understand that the LCM of 676,690,897,765,840 is 166519080.
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FAQs on LCM of 676, 690, 897, 765, 840
1. What is the LCM of 676, 690, 897, 765, 840?
Answer: LCM of 676, 690, 897, 765, 840 is 166519080.
2. How to calculate the LCM of 676, 690, 897, 765, 840?
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 676, 690, 897, 765, 840.
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}.