LCM of 416, 263, 377, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 263, 377, 203 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 416, 263, 377, 203. So, keep reading to learn more.
Given numbers are 416,263,377,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,263,377,203 is 22209824.
Find LCM of 416,263,377,203 with Prime Factorization
| 13 | 416, 263, 377, 203 |
| 29 | 32, 263, 29, 203 |
| 32, 263, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 32 x 263 x 1 x 7 = 22209824
Therefore, the lowest common multiple of 416,263,377,203 is 22209824.
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.
416 x 263 x 377 x 203 = 8373103648
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
263 : 1, 263
377 : 1, 13, 29, 377
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,263,377,203, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
263:263
377:13x 29
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 29 = 377
Therefore, the value for common factors is 377.
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 = 8373103648/(1x377)
LCM = 8373103648/377
LCM = 22209824
Thus, we can understand that the LCM of 416,263,377,203 is 22209824.
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FAQs on LCM of 416, 263, 377, 203
1. What is the LCM of 416, 263, 377, 203?
Answer: LCM of 416, 263, 377, 203 is 22209824.
2. How to calculate the LCM of 416, 263, 377, 203?
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 416, 263, 377, 203.
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}.