LCM of 595, 198, 578, 612, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 198, 578, 612, 743 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 595, 198, 578, 612, 743. So, keep reading to learn more.
Given numbers are 595,198,578,612,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,198,578,612,743 is 2976116220.
Find LCM of 595,198,578,612,743 with Prime Factorization
| 2 | 595, 198, 578, 612, 743 |
| 3 | 595, 99, 289, 306, 743 |
| 3 | 595, 33, 289, 102, 743 |
| 17 | 595, 11, 289, 34, 743 |
| 35, 11, 17, 2, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 35 x 11 x 17 x 2 x 743 = 2976116220
Therefore, the lowest common multiple of 595,198,578,612,743 is 2976116220.
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.
595 x 198 x 578 x 612 x 743 = 30963513152880
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
578 : 1, 2, 17, 34, 289, 578
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,198,578,612,743, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
198:2x 3x 3x 11
578:2x 17x 17
612:2x 2x 3x 3x 17
743:743
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 3x 17x 17 = 10404
Therefore, the value for common factors is 10404.
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 = 30963513152880/(1x10404)
LCM = 30963513152880/10404
LCM = 2976116220
Thus, we can understand that the LCM of 595,198,578,612,743 is 2976116220.
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FAQs on LCM of 595, 198, 578, 612, 743
1. What is the LCM of 595, 198, 578, 612, 743?
Answer: LCM of 595, 198, 578, 612, 743 is 2976116220.
2. How to calculate the LCM of 595, 198, 578, 612, 743?
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 595, 198, 578, 612, 743.
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}.