LCM of 668, 874, 219, 364, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 874, 219, 364, 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 668, 874, 219, 364, 179. So, keep reading to learn more.
Given numbers are 668,874,219,364,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,874,219,364,179 is 1041349319556.
Find LCM of 668,874,219,364,179 with Prime Factorization
| 2 | 668, 874, 219, 364, 179 |
| 2 | 334, 437, 219, 182, 179 |
| 167, 437, 219, 91, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 167 x 437 x 219 x 91 x 179 = 1041349319556
Therefore, the lowest common multiple of 668,874,219,364,179 is 1041349319556.
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.
668 x 874 x 219 x 364 x 179 = 8330794556448
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.
668 : 1, 2, 4, 167, 334, 668
874 : 1, 2, 19, 23, 38, 46, 437, 874
219 : 1, 3, 73, 219
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,874,219,364,179, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
874:2x 19x 23
219:3x 73
364:2x 2x 7x 13
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 2 = 8
Therefore, the value for common factors is 8.
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 = 8330794556448/(1x8)
LCM = 8330794556448/8
LCM = 1041349319556
Thus, we can understand that the LCM of 668,874,219,364,179 is 1041349319556.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 668, 874, 219, 364, 179
1. What is the LCM of 668, 874, 219, 364, 179?
Answer: LCM of 668, 874, 219, 364, 179 is 1041349319556.
2. How to calculate the LCM of 668, 874, 219, 364, 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 668, 874, 219, 364, 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}.