LCM of 278, 411, 139, 689, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 411, 139, 689, 265 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, 411, 139, 689, 265. So, keep reading to learn more.
Given numbers are 278,411,139,689,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,411,139,689,265 is 393618810.
Find LCM of 278,411,139,689,265 with Prime Factorization
| 53 | 278, 411, 139, 689, 265 |
| 139 | 278, 411, 139, 13, 5 |
| 2, 411, 1, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
53 x 139 x 2 x 411 x 1 x 13 x 5 = 393618810
Therefore, the lowest common multiple of 278,411,139,689,265 is 393618810.
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 411 x 139 x 689 x 265 = 2899789773270
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
411 : 1, 3, 137, 411
139 : 1, 139
689 : 1, 13, 53, 689
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,411,139,689,265, is 1.
Now, the common factors can be found like this.
278:2x 139
411:3x 137
139:139
689:13x 53
265:5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
53x 139 = 7367
Therefore, the value for common factors is 7367.
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 = 2899789773270/(1x7367)
LCM = 2899789773270/7367
LCM = 393618810
Thus, we can understand that the LCM of 278,411,139,689,265 is 393618810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 411, 139, 689, 265
1. What is the LCM of 278, 411, 139, 689, 265?
Answer: LCM of 278, 411, 139, 689, 265 is 393618810.
2. How to calculate the LCM of 278, 411, 139, 689, 265?
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, 411, 139, 689, 265.
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}.