LCM of 936, 414, 769, 721, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 414, 769, 721, 169 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 936, 414, 769, 721, 169. So, keep reading to learn more.
Given numbers are 936,414,769,721,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,414,769,721,169 is 155170314936.
Find LCM of 936,414,769,721,169 with Prime Factorization
| 2 | 936, 414, 769, 721, 169 |
| 3 | 468, 207, 769, 721, 169 |
| 3 | 156, 69, 769, 721, 169 |
| 13 | 52, 23, 769, 721, 169 |
| 4, 23, 769, 721, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 4 x 23 x 769 x 721 x 13 = 155170314936
Therefore, the lowest common multiple of 936,414,769,721,169 is 155170314936.
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.
936 x 414 x 769 x 721 x 169 = 36309853695024
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
769 : 1, 769
721 : 1, 7, 103, 721
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,414,769,721,169, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
414:2x 3x 3x 23
769:769
721:7x 103
169:13x 13
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 13 = 234
Therefore, the value for common factors is 234.
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 = 36309853695024/(1x234)
LCM = 36309853695024/234
LCM = 155170314936
Thus, we can understand that the LCM of 936,414,769,721,169 is 155170314936.
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FAQs on LCM of 936, 414, 769, 721, 169
1. What is the LCM of 936, 414, 769, 721, 169?
Answer: LCM of 936, 414, 769, 721, 169 is 155170314936.
2. How to calculate the LCM of 936, 414, 769, 721, 169?
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 936, 414, 769, 721, 169.
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}.