LCM of 169, 143, 802, 918, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 143, 802, 918, 979 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 169, 143, 802, 918, 979. So, keep reading to learn more.
Given numbers are 169,143,802,918,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,143,802,918,979 is 60905491218.
Find LCM of 169,143,802,918,979 with Prime Factorization
| 2 | 169, 143, 802, 918, 979 |
| 11 | 169, 143, 401, 459, 979 |
| 13 | 169, 13, 401, 459, 89 |
| 1, 13, 401, 459, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 1 x 13 x 401 x 459 x 89 = 60905491218
Therefore, the lowest common multiple of 169,143,802,918,979 is 60905491218.
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.
169 x 143 x 802 x 918 x 979 = 17418970488348
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.
169 : 1, 13, 169
143 : 1, 11, 13, 143
802 : 1, 2, 401, 802
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,143,802,918,979, is 1.
Now, the common factors can be found like this.
169:13x 13
143:11x 13
802:2x 401
918:2x 3x 3x 3x 17
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 17418970488348/(1x286)
LCM = 17418970488348/286
LCM = 60905491218
Thus, we can understand that the LCM of 169,143,802,918,979 is 60905491218.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 169, 143, 802, 918, 979
1. What is the LCM of 169, 143, 802, 918, 979?
Answer: LCM of 169, 143, 802, 918, 979 is 60905491218.
2. How to calculate the LCM of 169, 143, 802, 918, 979?
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 169, 143, 802, 918, 979.
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}.