LCM of 169, 473, 230, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 473, 230, 847 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, 473, 230, 847. So, keep reading to learn more.
Given numbers are 169,473,230,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,473,230,847 is 1415684270.
Find LCM of 169,473,230,847 with Prime Factorization
| 11 | 169, 473, 230, 847 |
| 169, 43, 230, 77 |
Multiply the prime numbers at the bottom and the left side.
11 x 169 x 43 x 230 x 77 = 1415684270
Therefore, the lowest common multiple of 169,473,230,847 is 1415684270.
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 473 x 230 x 847 = 15572526970
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
473 : 1, 11, 43, 473
230 : 1, 2, 5, 10, 23, 46, 115, 230
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,473,230,847, is 1.
Now, the common factors can be found like this.
169:13x 13
473:11x 43
230:2x 5x 23
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 15572526970/(1x11)
LCM = 15572526970/11
LCM = 1415684270
Thus, we can understand that the LCM of 169,473,230,847 is 1415684270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 169, 473, 230, 847
1. What is the LCM of 169, 473, 230, 847?
Answer: LCM of 169, 473, 230, 847 is 1415684270.
2. How to calculate the LCM of 169, 473, 230, 847?
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, 473, 230, 847.
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}.