LCM of 882, 818, 429, 374, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 818, 429, 374, 546 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 882, 818, 429, 374, 546. So, keep reading to learn more.
Given numbers are 882,818,429,374,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,818,429,374,546 is 876954078.
Find LCM of 882,818,429,374,546 with Prime Factorization
| 2 | 882, 818, 429, 374, 546 |
| 3 | 441, 409, 429, 187, 273 |
| 7 | 147, 409, 143, 187, 91 |
| 11 | 21, 409, 143, 187, 13 |
| 13 | 21, 409, 13, 17, 13 |
| 21, 409, 1, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 21 x 409 x 1 x 17 x 1 = 876954078
Therefore, the lowest common multiple of 882,818,429,374,546 is 876954078.
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.
882 x 818 x 429 x 374 x 546 = 63203834309616
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
818 : 1, 2, 409, 818
429 : 1, 3, 11, 13, 33, 39, 143, 429
374 : 1, 2, 11, 17, 22, 34, 187, 374
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,818,429,374,546, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
818:2x 409
429:3x 11x 13
374:2x 11x 17
546:2x 3x 7x 13
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 7x 11x 13 = 72072
Therefore, the value for common factors is 72072.
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 = 63203834309616/(1x72072)
LCM = 63203834309616/72072
LCM = 876954078
Thus, we can understand that the LCM of 882,818,429,374,546 is 876954078.
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FAQs on LCM of 882, 818, 429, 374, 546
1. What is the LCM of 882, 818, 429, 374, 546?
Answer: LCM of 882, 818, 429, 374, 546 is 876954078.
2. How to calculate the LCM of 882, 818, 429, 374, 546?
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 882, 818, 429, 374, 546.
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}.