LCM of 452, 974, 846, 891, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 974, 846, 891, 846 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 452, 974, 846, 891, 846. So, keep reading to learn more.
Given numbers are 452,974,846,891,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,974,846,891,846 is 9218132748.
Find LCM of 452,974,846,891,846 with Prime Factorization
| 2 | 452, 974, 846, 891, 846 |
| 3 | 226, 487, 423, 891, 423 |
| 3 | 226, 487, 141, 297, 141 |
| 47 | 226, 487, 47, 99, 47 |
| 226, 487, 1, 99, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 226 x 487 x 1 x 99 x 1 = 9218132748
Therefore, the lowest common multiple of 452,974,846,891,846 is 9218132748.
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.
452 x 974 x 846 x 891 x 846 = 280747450973088
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.
452 : 1, 2, 4, 113, 226, 452
974 : 1, 2, 487, 974
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,974,846,891,846, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
974:2x 487
846:2x 3x 3x 47
891:3x 3x 3x 3x 11
846:2x 3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 47 = 30456
Therefore, the value for common factors is 30456.
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 = 280747450973088/(1x30456)
LCM = 280747450973088/30456
LCM = 9218132748
Thus, we can understand that the LCM of 452,974,846,891,846 is 9218132748.
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FAQs on LCM of 452, 974, 846, 891, 846
1. What is the LCM of 452, 974, 846, 891, 846?
Answer: LCM of 452, 974, 846, 891, 846 is 9218132748.
2. How to calculate the LCM of 452, 974, 846, 891, 846?
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 452, 974, 846, 891, 846.
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}.