LCM of 762, 693, 169, 253, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 693, 169, 253, 161 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 762, 693, 169, 253, 161. So, keep reading to learn more.
Given numbers are 762,693,169,253,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,693,169,253,161 is 684197514.
Find LCM of 762,693,169,253,161 with Prime Factorization
| 3 | 762, 693, 169, 253, 161 |
| 7 | 254, 231, 169, 253, 161 |
| 11 | 254, 33, 169, 253, 23 |
| 23 | 254, 3, 169, 23, 23 |
| 254, 3, 169, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 23 x 254 x 3 x 169 x 1 x 1 = 684197514
Therefore, the lowest common multiple of 762,693,169,253,161 is 684197514.
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.
762 x 693 x 169 x 253 x 161 = 3635141391882
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
169 : 1, 13, 169
253 : 1, 11, 23, 253
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,693,169,253,161, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
693:3x 3x 7x 11
169:13x 13
253:11x 23
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 23 = 5313
Therefore, the value for common factors is 5313.
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 = 3635141391882/(1x5313)
LCM = 3635141391882/5313
LCM = 684197514
Thus, we can understand that the LCM of 762,693,169,253,161 is 684197514.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 693, 169, 253, 161
1. What is the LCM of 762, 693, 169, 253, 161?
Answer: LCM of 762, 693, 169, 253, 161 is 684197514.
2. How to calculate the LCM of 762, 693, 169, 253, 161?
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 762, 693, 169, 253, 161.
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}.