LCM of 294, 958, 966, 548, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 958, 966, 548, 179 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 294, 958, 966, 548, 179. So, keep reading to learn more.
Given numbers are 294,958,966,548,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,958,966,548,179 is 158859895908.
Find LCM of 294,958,966,548,179 with Prime Factorization
| 2 | 294, 958, 966, 548, 179 |
| 3 | 147, 479, 483, 274, 179 |
| 7 | 49, 479, 161, 274, 179 |
| 7, 479, 23, 274, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 479 x 23 x 274 x 179 = 158859895908
Therefore, the lowest common multiple of 294,958,966,548,179 is 158859895908.
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.
294 x 958 x 966 x 548 x 179 = 26688462512544
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
958 : 1, 2, 479, 958
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
548 : 1, 2, 4, 137, 274, 548
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,958,966,548,179, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
958:2x 479
966:2x 3x 7x 23
548:2x 2x 137
179:179
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 26688462512544/(1x168)
LCM = 26688462512544/168
LCM = 158859895908
Thus, we can understand that the LCM of 294,958,966,548,179 is 158859895908.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 294, 958, 966, 548, 179
1. What is the LCM of 294, 958, 966, 548, 179?
Answer: LCM of 294, 958, 966, 548, 179 is 158859895908.
2. How to calculate the LCM of 294, 958, 966, 548, 179?
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 294, 958, 966, 548, 179.
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}.