LCM of 786, 248, 368, 669, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 248, 368, 669, 278 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 786, 248, 368, 669, 278. So, keep reading to learn more.
Given numbers are 786,248,368,669,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,248,368,669,278 is 138970213968.
Find LCM of 786,248,368,669,278 with Prime Factorization
| 2 | 786, 248, 368, 669, 278 |
| 2 | 393, 124, 184, 669, 139 |
| 2 | 393, 62, 92, 669, 139 |
| 3 | 393, 31, 46, 669, 139 |
| 131, 31, 46, 223, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 131 x 31 x 46 x 223 x 139 = 138970213968
Therefore, the lowest common multiple of 786,248,368,669,278 is 138970213968.
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.
786 x 248 x 368 x 669 x 278 = 13341140540928
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
248 : 1, 2, 4, 8, 31, 62, 124, 248
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
669 : 1, 3, 223, 669
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,248,368,669,278, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
248:2x 2x 2x 31
368:2x 2x 2x 2x 23
669:3x 223
278:2x 139
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 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 13341140540928/(1x96)
LCM = 13341140540928/96
LCM = 138970213968
Thus, we can understand that the LCM of 786,248,368,669,278 is 138970213968.
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FAQs on LCM of 786, 248, 368, 669, 278
1. What is the LCM of 786, 248, 368, 669, 278?
Answer: LCM of 786, 248, 368, 669, 278 is 138970213968.
2. How to calculate the LCM of 786, 248, 368, 669, 278?
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 786, 248, 368, 669, 278.
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}.