LCM of 179, 676, 767, 706, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 676, 767, 706, 141 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, 676, 767, 706, 141. So, keep reading to learn more.
Given numbers are 179,676,767,706,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,676,767,706,141 is 355341193428.
Find LCM of 179,676,767,706,141 with Prime Factorization
| 2 | 179, 676, 767, 706, 141 |
| 13 | 179, 338, 767, 353, 141 |
| 179, 26, 59, 353, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 179 x 26 x 59 x 353 x 141 = 355341193428
Therefore, the lowest common multiple of 179,676,767,706,141 is 355341193428.
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 676 x 767 x 706 x 141 = 9238871029128
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
767 : 1, 13, 59, 767
706 : 1, 2, 353, 706
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,676,767,706,141, is 1.
Now, the common factors can be found like this.
179:179
676:2x 2x 13x 13
767:13x 59
706:2x 353
141:3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 9238871029128/(1x26)
LCM = 9238871029128/26
LCM = 355341193428
Thus, we can understand that the LCM of 179,676,767,706,141 is 355341193428.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 179, 676, 767, 706, 141
1. What is the LCM of 179, 676, 767, 706, 141?
Answer: LCM of 179, 676, 767, 706, 141 is 355341193428.
2. How to calculate the LCM of 179, 676, 767, 706, 141?
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, 676, 767, 706, 141.
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}.