LCM of 165, 834, 594, 468, 941
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 834, 594, 468, 941 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 165, 834, 594, 468, 941. So, keep reading to learn more.
Given numbers are 165,834,594,468,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,834,594,468,941 is 10100298780.
Find LCM of 165,834,594,468,941 with Prime Factorization
| 2 | 165, 834, 594, 468, 941 |
| 3 | 165, 417, 297, 234, 941 |
| 3 | 55, 139, 99, 78, 941 |
| 11 | 55, 139, 33, 26, 941 |
| 5, 139, 3, 26, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 5 x 139 x 3 x 26 x 941 = 10100298780
Therefore, the lowest common multiple of 165,834,594,468,941 is 10100298780.
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.
165 x 834 x 594 x 468 x 941 = 35997464851920
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
834 : 1, 2, 3, 6, 139, 278, 417, 834
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,834,594,468,941, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
834:2x 3x 139
594:2x 3x 3x 3x 11
468:2x 2x 3x 3x 13
941:941
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 3x 3x 3x 3x 11 = 3564
Therefore, the value for common factors is 3564.
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 = 35997464851920/(1x3564)
LCM = 35997464851920/3564
LCM = 10100298780
Thus, we can understand that the LCM of 165,834,594,468,941 is 10100298780.
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FAQs on LCM of 165, 834, 594, 468, 941
1. What is the LCM of 165, 834, 594, 468, 941?
Answer: LCM of 165, 834, 594, 468, 941 is 10100298780.
2. How to calculate the LCM of 165, 834, 594, 468, 941?
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 165, 834, 594, 468, 941.
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}.