LCM of 734, 595, 193, 748, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 734, 595, 193, 748, 450 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 734, 595, 193, 748, 450. So, keep reading to learn more.
Given numbers are 734,595,193,748,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 734,595,193,748,450 is 83446001100.
Find LCM of 734,595,193,748,450 with Prime Factorization
| 2 | 734, 595, 193, 748, 450 |
| 5 | 367, 595, 193, 374, 225 |
| 17 | 367, 119, 193, 374, 45 |
| 367, 7, 193, 22, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 367 x 7 x 193 x 22 x 45 = 83446001100
Therefore, the lowest common multiple of 734,595,193,748,450 is 83446001100.
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.
734 x 595 x 193 x 748 x 450 = 28371640374000
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.
734 : 1, 2, 367, 734
595 : 1, 5, 7, 17, 35, 85, 119, 595
193 : 1, 193
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,595,193,748,450, is 1.
Now, the common factors can be found like this.
734:2x 367
595:5x 7x 17
193:193
748:2x 2x 11x 17
450:2x 3x 3x 5x 5
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 28371640374000/(1x340)
LCM = 28371640374000/340
LCM = 83446001100
Thus, we can understand that the LCM of 734,595,193,748,450 is 83446001100.
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FAQs on LCM of 734, 595, 193, 748, 450
1. What is the LCM of 734, 595, 193, 748, 450?
Answer: LCM of 734, 595, 193, 748, 450 is 83446001100.
2. How to calculate the LCM of 734, 595, 193, 748, 450?
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 734, 595, 193, 748, 450.
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}.