LCM of 821, 975, 507, 721, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 975, 507, 721, 985 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 821, 975, 507, 721, 985. So, keep reading to learn more.
Given numbers are 821,975,507,721,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,975,507,721,985 is 1478061878475.
Find LCM of 821,975,507,721,985 with Prime Factorization
| 3 | 821, 975, 507, 721, 985 |
| 5 | 821, 325, 169, 721, 985 |
| 13 | 821, 65, 169, 721, 197 |
| 821, 5, 13, 721, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 821 x 5 x 13 x 721 x 197 = 1478061878475
Therefore, the lowest common multiple of 821,975,507,721,985 is 1478061878475.
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.
821 x 975 x 507 x 721 x 985 = 288222066302625
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.
821 : 1, 821
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
507 : 1, 3, 13, 39, 169, 507
721 : 1, 7, 103, 721
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,975,507,721,985, is 1.
Now, the common factors can be found like this.
821:821
975:3x 5x 5x 13
507:3x 13x 13
721:7x 103
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 288222066302625/(1x195)
LCM = 288222066302625/195
LCM = 1478061878475
Thus, we can understand that the LCM of 821,975,507,721,985 is 1478061878475.
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FAQs on LCM of 821, 975, 507, 721, 985
1. What is the LCM of 821, 975, 507, 721, 985?
Answer: LCM of 821, 975, 507, 721, 985 is 1478061878475.
2. How to calculate the LCM of 821, 975, 507, 721, 985?
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 821, 975, 507, 721, 985.
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}.