LCM of 641, 574, 736, 460, 177
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 641, 574, 736, 460, 177 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 641, 574, 736, 460, 177. So, keep reading to learn more.
Given numbers are 641,574,736,460,177
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,574,736,460,177 is 119828745120.
Find LCM of 641,574,736,460,177 with Prime Factorization
| 2 | 641, 574, 736, 460, 177 |
| 2 | 641, 287, 368, 230, 177 |
| 23 | 641, 287, 184, 115, 177 |
| 641, 287, 8, 5, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 641 x 287 x 8 x 5 x 177 = 119828745120
Therefore, the lowest common multiple of 641,574,736,460,177 is 119828745120.
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.
641 x 574 x 736 x 460 x 177 = 22048489102080
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.
641 : 1, 641
574 : 1, 2, 7, 14, 41, 82, 287, 574
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
177 : 1, 3, 59, 177
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,574,736,460,177, is 1.
Now, the common factors can be found like this.
641:641
574:2x 7x 41
736:2x 2x 2x 2x 2x 23
460:2x 2x 5x 23
177:3x 59
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 23 = 184
Therefore, the value for common factors is 184.
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 = 22048489102080/(1x184)
LCM = 22048489102080/184
LCM = 119828745120
Thus, we can understand that the LCM of 641,574,736,460,177 is 119828745120.
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FAQs on LCM of 641, 574, 736, 460, 177
1. What is the LCM of 641, 574, 736, 460, 177?
Answer: LCM of 641, 574, 736, 460, 177 is 119828745120.
2. How to calculate the LCM of 641, 574, 736, 460, 177?
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 641, 574, 736, 460, 177.
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}.