LCM of 278, 620, 836, 665, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 620, 836, 665, 796 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, 620, 836, 665, 796. So, keep reading to learn more.
Given numbers are 278,620,836,665,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,620,836,665,796 is 25090186660.
Find LCM of 278,620,836,665,796 with Prime Factorization
| 2 | 278, 620, 836, 665, 796 |
| 2 | 139, 310, 418, 665, 398 |
| 5 | 139, 155, 209, 665, 199 |
| 19 | 139, 31, 209, 133, 199 |
| 139, 31, 11, 7, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 139 x 31 x 11 x 7 x 199 = 25090186660
Therefore, the lowest common multiple of 278,620,836,665,796 is 25090186660.
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 620 x 836 x 665 x 796 = 76274167446400
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
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
665 : 1, 5, 7, 19, 35, 95, 133, 665
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,620,836,665,796, is 1.
Now, the common factors can be found like this.
278:2x 139
620:2x 2x 5x 31
836:2x 2x 11x 19
665:5x 7x 19
796:2x 2x 199
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 5x 19 = 3040
Therefore, the value for common factors is 3040.
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 = 76274167446400/(1x3040)
LCM = 76274167446400/3040
LCM = 25090186660
Thus, we can understand that the LCM of 278,620,836,665,796 is 25090186660.
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FAQs on LCM of 278, 620, 836, 665, 796
1. What is the LCM of 278, 620, 836, 665, 796?
Answer: LCM of 278, 620, 836, 665, 796 is 25090186660.
2. How to calculate the LCM of 278, 620, 836, 665, 796?
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, 620, 836, 665, 796.
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}.