LCM of 141, 435, 410, 482, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 141, 435, 410, 482, 943 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 141, 435, 410, 482, 943. So, keep reading to learn more.
Given numbers are 141,435,410,482,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,435,410,482,943 is 9292784070.
Find LCM of 141,435,410,482,943 with Prime Factorization
| 2 | 141, 435, 410, 482, 943 |
| 3 | 141, 435, 205, 241, 943 |
| 5 | 47, 145, 205, 241, 943 |
| 41 | 47, 29, 41, 241, 943 |
| 47, 29, 1, 241, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 47 x 29 x 1 x 241 x 23 = 9292784070
Therefore, the lowest common multiple of 141,435,410,482,943 is 9292784070.
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.
141 x 435 x 410 x 482 x 943 = 11430124406100
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.
141 : 1, 3, 47, 141
435 : 1, 3, 5, 15, 29, 87, 145, 435
410 : 1, 2, 5, 10, 41, 82, 205, 410
482 : 1, 2, 241, 482
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,435,410,482,943, is 1.
Now, the common factors can be found like this.
141:3x 47
435:3x 5x 29
410:2x 5x 41
482:2x 241
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 41 = 1230
Therefore, the value for common factors is 1230.
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 = 11430124406100/(1x1230)
LCM = 11430124406100/1230
LCM = 9292784070
Thus, we can understand that the LCM of 141,435,410,482,943 is 9292784070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 141, 435, 410, 482, 943
1. What is the LCM of 141, 435, 410, 482, 943?
Answer: LCM of 141, 435, 410, 482, 943 is 9292784070.
2. How to calculate the LCM of 141, 435, 410, 482, 943?
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 141, 435, 410, 482, 943.
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}.