LCM of 733, 682, 946, 434, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 682, 946, 434, 980 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 733, 682, 946, 434, 980. So, keep reading to learn more.
Given numbers are 733,682,946,434,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,682,946,434,980 is 10533019420.
Find LCM of 733,682,946,434,980 with Prime Factorization
| 2 | 733, 682, 946, 434, 980 |
| 7 | 733, 341, 473, 217, 490 |
| 11 | 733, 341, 473, 31, 70 |
| 31 | 733, 31, 43, 31, 70 |
| 733, 1, 43, 1, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 31 x 733 x 1 x 43 x 1 x 70 = 10533019420
Therefore, the lowest common multiple of 733,682,946,434,980 is 10533019420.
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.
733 x 682 x 946 x 434 x 980 = 201138538844320
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.
733 : 1, 733
682 : 1, 2, 11, 22, 31, 62, 341, 682
946 : 1, 2, 11, 22, 43, 86, 473, 946
434 : 1, 2, 7, 14, 31, 62, 217, 434
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,682,946,434,980, is 1.
Now, the common factors can be found like this.
733:733
682:2x 11x 31
946:2x 11x 43
434:2x 7x 31
980:2x 2x 5x 7x 7
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 7x 11x 31 = 19096
Therefore, the value for common factors is 19096.
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 = 201138538844320/(1x19096)
LCM = 201138538844320/19096
LCM = 10533019420
Thus, we can understand that the LCM of 733,682,946,434,980 is 10533019420.
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FAQs on LCM of 733, 682, 946, 434, 980
1. What is the LCM of 733, 682, 946, 434, 980?
Answer: LCM of 733, 682, 946, 434, 980 is 10533019420.
2. How to calculate the LCM of 733, 682, 946, 434, 980?
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 733, 682, 946, 434, 980.
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}.