LCM of 278, 854, 341, 366, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 854, 341, 366, 371 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 278, 854, 341, 366, 371. So, keep reading to learn more.
Given numbers are 278,854,341,366,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,854,341,366,371 is 6436120614.
Find LCM of 278,854,341,366,371 with Prime Factorization
| 2 | 278, 854, 341, 366, 371 |
| 7 | 139, 427, 341, 183, 371 |
| 61 | 139, 61, 341, 183, 53 |
| 139, 1, 341, 3, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 61 x 139 x 1 x 341 x 3 x 53 = 6436120614
Therefore, the lowest common multiple of 278,854,341,366,371 is 6436120614.
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.
278 x 854 x 341 x 366 x 371 = 10992894008712
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.
278 : 1, 2, 139, 278
854 : 1, 2, 7, 14, 61, 122, 427, 854
341 : 1, 11, 31, 341
366 : 1, 2, 3, 6, 61, 122, 183, 366
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,854,341,366,371, is 1.
Now, the common factors can be found like this.
278:2x 139
854:2x 7x 61
341:11x 31
366:2x 3x 61
371:7x 53
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 7x 61 = 1708
Therefore, the value for common factors is 1708.
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 = 10992894008712/(1x1708)
LCM = 10992894008712/1708
LCM = 6436120614
Thus, we can understand that the LCM of 278,854,341,366,371 is 6436120614.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 854, 341, 366, 371
1. What is the LCM of 278, 854, 341, 366, 371?
Answer: LCM of 278, 854, 341, 366, 371 is 6436120614.
2. How to calculate the LCM of 278, 854, 341, 366, 371?
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 278, 854, 341, 366, 371.
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}.