LCM of 673, 988, 338, 682, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 673, 988, 338, 682, 528 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 673, 988, 338, 682, 528. So, keep reading to learn more.
Given numbers are 673,988,338,682,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,988,338,682,528 is 35371297104.
Find LCM of 673,988,338,682,528 with Prime Factorization
| 2 | 673, 988, 338, 682, 528 |
| 2 | 673, 494, 169, 341, 264 |
| 11 | 673, 247, 169, 341, 132 |
| 13 | 673, 247, 169, 31, 12 |
| 673, 19, 13, 31, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 673 x 19 x 13 x 31 x 12 = 35371297104
Therefore, the lowest common multiple of 673,988,338,682,528 is 35371297104.
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.
673 x 988 x 338 x 682 x 528 = 80929527773952
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.
673 : 1, 673
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
338 : 1, 2, 13, 26, 169, 338
682 : 1, 2, 11, 22, 31, 62, 341, 682
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,988,338,682,528, is 1.
Now, the common factors can be found like this.
673:673
988:2x 2x 13x 19
338:2x 13x 13
682:2x 11x 31
528:2x 2x 2x 2x 3x 11
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 2x 11x 13 = 2288
Therefore, the value for common factors is 2288.
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 = 80929527773952/(1x2288)
LCM = 80929527773952/2288
LCM = 35371297104
Thus, we can understand that the LCM of 673,988,338,682,528 is 35371297104.
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FAQs on LCM of 673, 988, 338, 682, 528
1. What is the LCM of 673, 988, 338, 682, 528?
Answer: LCM of 673, 988, 338, 682, 528 is 35371297104.
2. How to calculate the LCM of 673, 988, 338, 682, 528?
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 673, 988, 338, 682, 528.
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}.