Find the LCM of 902, 713, 943, 391, 523 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 902, 713, 943, 391, 523. So, keep reading to learn more.
Given numbers are 902,713,943,391,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,713,943,391,523 is 5718033266.
Find LCM of 902,713,943,391,523 with Prime Factorization
23 | 902, 713, 943, 391, 523 |
41 | 902, 31, 41, 17, 523 |
22, 31, 1, 17, 523 |
Multiply the prime numbers at the bottom and the left side.
23 x 41 x 22 x 31 x 1 x 17 x 523 = 5718033266
Therefore, the lowest common multiple of 902,713,943,391,523 is 5718033266.
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.
902 x 713 x 943 x 391 x 523 = 124018423506274
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
713 : 1, 23, 31, 713
943 : 1, 23, 41, 943
391 : 1, 17, 23, 391
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,713,943,391,523, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
713:23x 31
943:23x 41
391:17x 23
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 23x 41 = 21689
Therefore, the value for common factors is 21689.
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 = 124018423506274/(1x21689)
LCM = 124018423506274/21689
LCM = 5718033266
Thus, we can understand that the LCM of 902,713,943,391,523 is 5718033266.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 713, 943, 391, 523?
Answer: LCM of 902, 713, 943, 391, 523 is 5718033266.
2. How to calculate the LCM of 902, 713, 943, 391, 523?
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 902, 713, 943, 391, 523.
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}.