LCM of 403, 676, 902, 691, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 676, 902, 691, 451 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 403, 676, 902, 691, 451. So, keep reading to learn more.
Given numbers are 403,676,902,691,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,676,902,691,451 is 6530748796.
Find LCM of 403,676,902,691,451 with Prime Factorization
| 2 | 403, 676, 902, 691, 451 |
| 11 | 403, 338, 451, 691, 451 |
| 13 | 403, 338, 41, 691, 41 |
| 41 | 31, 26, 41, 691, 41 |
| 31, 26, 1, 691, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 41 x 31 x 26 x 1 x 691 x 1 = 6530748796
Therefore, the lowest common multiple of 403,676,902,691,451 is 6530748796.
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.
403 x 676 x 902 x 691 x 451 = 76579560381896
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.
403 : 1, 13, 31, 403
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
902 : 1, 2, 11, 22, 41, 82, 451, 902
691 : 1, 691
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,676,902,691,451, is 1.
Now, the common factors can be found like this.
403:13x 31
676:2x 2x 13x 13
902:2x 11x 41
691:691
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13x 41 = 11726
Therefore, the value for common factors is 11726.
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 = 76579560381896/(1x11726)
LCM = 76579560381896/11726
LCM = 6530748796
Thus, we can understand that the LCM of 403,676,902,691,451 is 6530748796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 676, 902, 691, 451
1. What is the LCM of 403, 676, 902, 691, 451?
Answer: LCM of 403, 676, 902, 691, 451 is 6530748796.
2. How to calculate the LCM of 403, 676, 902, 691, 451?
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 403, 676, 902, 691, 451.
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}.