LCM of 604, 267, 889, 678, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 267, 889, 678, 609 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 604, 267, 889, 678, 609. So, keep reading to learn more.
Given numbers are 604,267,889,678,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,267,889,678,609 is 469814484804.
Find LCM of 604,267,889,678,609 with Prime Factorization
| 2 | 604, 267, 889, 678, 609 |
| 3 | 302, 267, 889, 339, 609 |
| 7 | 302, 89, 889, 113, 203 |
| 302, 89, 127, 113, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 302 x 89 x 127 x 113 x 29 = 469814484804
Therefore, the lowest common multiple of 604,267,889,678,609 is 469814484804.
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.
604 x 267 x 889 x 678 x 609 = 59196625085304
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.
604 : 1, 2, 4, 151, 302, 604
267 : 1, 3, 89, 267
889 : 1, 7, 127, 889
678 : 1, 2, 3, 6, 113, 226, 339, 678
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,267,889,678,609, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
267:3x 89
889:7x 127
678:2x 3x 113
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 59196625085304/(1x126)
LCM = 59196625085304/126
LCM = 469814484804
Thus, we can understand that the LCM of 604,267,889,678,609 is 469814484804.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 604, 267, 889, 678, 609
1. What is the LCM of 604, 267, 889, 678, 609?
Answer: LCM of 604, 267, 889, 678, 609 is 469814484804.
2. How to calculate the LCM of 604, 267, 889, 678, 609?
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 604, 267, 889, 678, 609.
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}.