LCM of 169, 777, 676, 546, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 777, 676, 546, 313 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 169, 777, 676, 546, 313. So, keep reading to learn more.
Given numbers are 169,777,676,546,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,777,676,546,313 is 164403876.
Find LCM of 169,777,676,546,313 with Prime Factorization
| 2 | 169, 777, 676, 546, 313 |
| 3 | 169, 777, 338, 273, 313 |
| 7 | 169, 259, 338, 91, 313 |
| 13 | 169, 37, 338, 13, 313 |
| 13 | 1, 37, 26, 13, 313 |
| 1, 37, 2, 1, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 13 x 1 x 37 x 2 x 1 x 313 = 164403876
Therefore, the lowest common multiple of 169,777,676,546,313 is 164403876.
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.
169 x 777 x 676 x 546 x 313 = 15170203254024
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.
169 : 1, 13, 169
777 : 1, 3, 7, 21, 37, 111, 259, 777
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,777,676,546,313, is 1.
Now, the common factors can be found like this.
169:13x 13
777:3x 7x 37
676:2x 2x 13x 13
546:2x 3x 7x 13
313:313
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 7x 13x 13x 13 = 92274
Therefore, the value for common factors is 92274.
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 = 15170203254024/(1x92274)
LCM = 15170203254024/92274
LCM = 164403876
Thus, we can understand that the LCM of 169,777,676,546,313 is 164403876.
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FAQs on LCM of 169, 777, 676, 546, 313
1. What is the LCM of 169, 777, 676, 546, 313?
Answer: LCM of 169, 777, 676, 546, 313 is 164403876.
2. How to calculate the LCM of 169, 777, 676, 546, 313?
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 169, 777, 676, 546, 313.
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}.