LCM of 197, 114, 748, 467, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 114, 748, 467, 765 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 197, 114, 748, 467, 765. So, keep reading to learn more.
Given numbers are 197,114,748,467,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,114,748,467,765 is 58837040460.
Find LCM of 197,114,748,467,765 with Prime Factorization
| 2 | 197, 114, 748, 467, 765 |
| 3 | 197, 57, 374, 467, 765 |
| 17 | 197, 19, 374, 467, 255 |
| 197, 19, 22, 467, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 197 x 19 x 22 x 467 x 15 = 58837040460
Therefore, the lowest common multiple of 197,114,748,467,765 is 58837040460.
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.
197 x 114 x 748 x 467 x 765 = 6001378126920
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.
197 : 1, 197
114 : 1, 2, 3, 6, 19, 38, 57, 114
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
467 : 1, 467
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,114,748,467,765, is 1.
Now, the common factors can be found like this.
197:197
114:2x 3x 19
748:2x 2x 11x 17
467:467
765:3x 3x 5x 17
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 17 = 102
Therefore, the value for common factors is 102.
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 = 6001378126920/(1x102)
LCM = 6001378126920/102
LCM = 58837040460
Thus, we can understand that the LCM of 197,114,748,467,765 is 58837040460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 197, 114, 748, 467, 765
1. What is the LCM of 197, 114, 748, 467, 765?
Answer: LCM of 197, 114, 748, 467, 765 is 58837040460.
2. How to calculate the LCM of 197, 114, 748, 467, 765?
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 197, 114, 748, 467, 765.
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}.