LCM of 839, 762, 303, 594, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 762, 303, 594, 153 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 839, 762, 303, 594, 153. So, keep reading to learn more.
Given numbers are 839,762,303,594,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,762,303,594,153 is 108673191594.
Find LCM of 839,762,303,594,153 with Prime Factorization
| 2 | 839, 762, 303, 594, 153 |
| 3 | 839, 381, 303, 297, 153 |
| 3 | 839, 127, 101, 99, 51 |
| 839, 127, 101, 33, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 839 x 127 x 101 x 33 x 17 = 108673191594
Therefore, the lowest common multiple of 839,762,303,594,153 is 108673191594.
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.
839 x 762 x 303 x 594 x 153 = 17605057038228
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.
839 : 1, 839
762 : 1, 2, 3, 6, 127, 254, 381, 762
303 : 1, 3, 101, 303
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,762,303,594,153, is 1.
Now, the common factors can be found like this.
839:839
762:2x 3x 127
303:3x 101
594:2x 3x 3x 3x 11
153:3x 3x 17
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 3 = 162
Therefore, the value for common factors is 162.
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 = 17605057038228/(1x162)
LCM = 17605057038228/162
LCM = 108673191594
Thus, we can understand that the LCM of 839,762,303,594,153 is 108673191594.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 839, 762, 303, 594, 153
1. What is the LCM of 839, 762, 303, 594, 153?
Answer: LCM of 839, 762, 303, 594, 153 is 108673191594.
2. How to calculate the LCM of 839, 762, 303, 594, 153?
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 839, 762, 303, 594, 153.
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}.