LCM of 609, 312, 742, 184, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 312, 742, 184, 862 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 609, 312, 742, 184, 862. So, keep reading to learn more.
Given numbers are 609,312,742,184,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,312,742,184,862 is 33276037704.
Find LCM of 609,312,742,184,862 with Prime Factorization
| 2 | 609, 312, 742, 184, 862 |
| 2 | 609, 156, 371, 92, 431 |
| 2 | 609, 78, 371, 46, 431 |
| 3 | 609, 39, 371, 23, 431 |
| 7 | 203, 13, 371, 23, 431 |
| 29, 13, 53, 23, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 29 x 13 x 53 x 23 x 431 = 33276037704
Therefore, the lowest common multiple of 609,312,742,184,862 is 33276037704.
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.
609 x 312 x 742 x 184 x 862 = 22361497337088
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
742 : 1, 2, 7, 14, 53, 106, 371, 742
184 : 1, 2, 4, 8, 23, 46, 92, 184
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,312,742,184,862, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
312:2x 2x 2x 3x 13
742:2x 7x 53
184:2x 2x 2x 23
862:2x 431
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 2x 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 22361497337088/(1x672)
LCM = 22361497337088/672
LCM = 33276037704
Thus, we can understand that the LCM of 609,312,742,184,862 is 33276037704.
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FAQs on LCM of 609, 312, 742, 184, 862
1. What is the LCM of 609, 312, 742, 184, 862?
Answer: LCM of 609, 312, 742, 184, 862 is 33276037704.
2. How to calculate the LCM of 609, 312, 742, 184, 862?
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 609, 312, 742, 184, 862.
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}.