LCM of 179, 551, 770, 836, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 551, 770, 836, 426 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 179, 551, 770, 836, 426. So, keep reading to learn more.
Given numbers are 179,551,770,836,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,551,770,836,426 is 32352284580.
Find LCM of 179,551,770,836,426 with Prime Factorization
| 2 | 179, 551, 770, 836, 426 |
| 11 | 179, 551, 385, 418, 213 |
| 19 | 179, 551, 35, 38, 213 |
| 179, 29, 35, 2, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 179 x 29 x 35 x 2 x 213 = 32352284580
Therefore, the lowest common multiple of 179,551,770,836,426 is 32352284580.
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.
179 x 551 x 770 x 836 x 426 = 27046509908880
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.
179 : 1, 179
551 : 1, 19, 29, 551
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,551,770,836,426, is 1.
Now, the common factors can be found like this.
179:179
551:19x 29
770:2x 5x 7x 11
836:2x 2x 11x 19
426:2x 3x 71
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 27046509908880/(1x836)
LCM = 27046509908880/836
LCM = 32352284580
Thus, we can understand that the LCM of 179,551,770,836,426 is 32352284580.
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FAQs on LCM of 179, 551, 770, 836, 426
1. What is the LCM of 179, 551, 770, 836, 426?
Answer: LCM of 179, 551, 770, 836, 426 is 32352284580.
2. How to calculate the LCM of 179, 551, 770, 836, 426?
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 179, 551, 770, 836, 426.
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}.