LCM of 841, 676, 507, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 676, 507, 991 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 841, 676, 507, 991. So, keep reading to learn more.
Given numbers are 841,676,507,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,676,507,991 is 1690198068.
Find LCM of 841,676,507,991 with Prime Factorization
| 13 | 841, 676, 507, 991 |
| 13 | 841, 52, 39, 991 |
| 841, 4, 3, 991 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 841 x 4 x 3 x 991 = 1690198068
Therefore, the lowest common multiple of 841,676,507,991 is 1690198068.
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.
841 x 676 x 507 x 991 = 285643473492
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.
841 : 1, 29, 841
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
507 : 1, 3, 13, 39, 169, 507
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,676,507,991, is 1.
Now, the common factors can be found like this.
841:29x 29
676:2x 2x 13x 13
507:3x 13x 13
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 285643473492/(1x169)
LCM = 285643473492/169
LCM = 1690198068
Thus, we can understand that the LCM of 841,676,507,991 is 1690198068.
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FAQs on LCM of 841, 676, 507, 991
1. What is the LCM of 841, 676, 507, 991?
Answer: LCM of 841, 676, 507, 991 is 1690198068.
2. How to calculate the LCM of 841, 676, 507, 991?
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 841, 676, 507, 991.
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}.