LCM of 951, 469, 737, 249, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 469, 737, 249, 519 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 951, 469, 737, 249, 519. So, keep reading to learn more.
Given numbers are 951,469,737,249,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,469,737,249,519 is 70448255031.
Find LCM of 951,469,737,249,519 with Prime Factorization
| 3 | 951, 469, 737, 249, 519 |
| 67 | 317, 469, 737, 83, 173 |
| 317, 7, 11, 83, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 67 x 317 x 7 x 11 x 83 x 173 = 70448255031
Therefore, the lowest common multiple of 951,469,737,249,519 is 70448255031.
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.
951 x 469 x 737 x 249 x 519 = 42480297783693
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.
951 : 1, 3, 317, 951
469 : 1, 7, 67, 469
737 : 1, 11, 67, 737
249 : 1, 3, 83, 249
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,469,737,249,519, is 1.
Now, the common factors can be found like this.
951:3x 317
469:7x 67
737:11x 67
249:3x 83
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 67 = 603
Therefore, the value for common factors is 603.
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 = 42480297783693/(1x603)
LCM = 42480297783693/603
LCM = 70448255031
Thus, we can understand that the LCM of 951,469,737,249,519 is 70448255031.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 951, 469, 737, 249, 519
1. What is the LCM of 951, 469, 737, 249, 519?
Answer: LCM of 951, 469, 737, 249, 519 is 70448255031.
2. How to calculate the LCM of 951, 469, 737, 249, 519?
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 951, 469, 737, 249, 519.
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}.