LCM of 891, 690, 361, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 690, 361, 594 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 891, 690, 361, 594. So, keep reading to learn more.
Given numbers are 891,690,361,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,690,361,594 is 73979730.
Find LCM of 891,690,361,594 with Prime Factorization
| 2 | 891, 690, 361, 594 |
| 3 | 891, 345, 361, 297 |
| 3 | 99, 115, 361, 297 |
| 3 | 33, 115, 361, 99 |
| 11 | 11, 115, 361, 33 |
| 1, 115, 361, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 1 x 115 x 361 x 3 = 73979730
Therefore, the lowest common multiple of 891,690,361,594 is 73979730.
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.
891 x 690 x 361 x 594 = 131831878860
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
361 : 1, 19, 361
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,690,361,594, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
690:2x 3x 5x 23
361:19x 19
594:2x 3x 3x 3x 11
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 11 = 1782
Therefore, the value for common factors is 1782.
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 = 131831878860/(1x1782)
LCM = 131831878860/1782
LCM = 73979730
Thus, we can understand that the LCM of 891,690,361,594 is 73979730.
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FAQs on LCM of 891, 690, 361, 594
1. What is the LCM of 891, 690, 361, 594?
Answer: LCM of 891, 690, 361, 594 is 73979730.
2. How to calculate the LCM of 891, 690, 361, 594?
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 891, 690, 361, 594.
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}.