LCM of 167, 708, 218, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 708, 218, 654 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 167, 708, 218, 654. So, keep reading to learn more.
Given numbers are 167,708,218,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,708,218,654 is 12887724.
Find LCM of 167,708,218,654 with Prime Factorization
| 2 | 167, 708, 218, 654 |
| 3 | 167, 354, 109, 327 |
| 109 | 167, 118, 109, 109 |
| 167, 118, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 167 x 118 x 1 x 1 = 12887724
Therefore, the lowest common multiple of 167,708,218,654 is 12887724.
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.
167 x 708 x 218 x 654 = 16857142992
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.
167 : 1, 167
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
218 : 1, 2, 109, 218
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,708,218,654, is 1.
Now, the common factors can be found like this.
167:167
708:2x 2x 3x 59
218:2x 109
654:2x 3x 109
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 3x 109 = 1308
Therefore, the value for common factors is 1308.
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 = 16857142992/(1x1308)
LCM = 16857142992/1308
LCM = 12887724
Thus, we can understand that the LCM of 167,708,218,654 is 12887724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 167, 708, 218, 654
1. What is the LCM of 167, 708, 218, 654?
Answer: LCM of 167, 708, 218, 654 is 12887724.
2. How to calculate the LCM of 167, 708, 218, 654?
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 167, 708, 218, 654.
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}.