LCM of 478, 853, 737, 278, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 853, 737, 278, 341 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 478, 853, 737, 278, 341. So, keep reading to learn more.
Given numbers are 478,853,737,278,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,853,737,278,341 is 1294854319022.
Find LCM of 478,853,737,278,341 with Prime Factorization
| 2 | 478, 853, 737, 278, 341 |
| 11 | 239, 853, 737, 139, 341 |
| 239, 853, 67, 139, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 239 x 853 x 67 x 139 x 31 = 1294854319022
Therefore, the lowest common multiple of 478,853,737,278,341 is 1294854319022.
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.
478 x 853 x 737 x 278 x 341 = 28486795018484
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.
478 : 1, 2, 239, 478
853 : 1, 853
737 : 1, 11, 67, 737
278 : 1, 2, 139, 278
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,853,737,278,341, is 1.
Now, the common factors can be found like this.
478:2x 239
853:853
737:11x 67
278:2x 139
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 28486795018484/(1x22)
LCM = 28486795018484/22
LCM = 1294854319022
Thus, we can understand that the LCM of 478,853,737,278,341 is 1294854319022.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 478, 853, 737, 278, 341
1. What is the LCM of 478, 853, 737, 278, 341?
Answer: LCM of 478, 853, 737, 278, 341 is 1294854319022.
2. How to calculate the LCM of 478, 853, 737, 278, 341?
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 478, 853, 737, 278, 341.
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}.