LCM of 767, 492, 943, 217, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 492, 943, 217, 230 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 767, 492, 943, 217, 230. So, keep reading to learn more.
Given numbers are 767,492,943,217,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,492,943,217,230 is 9417118620.
Find LCM of 767,492,943,217,230 with Prime Factorization
| 2 | 767, 492, 943, 217, 230 |
| 23 | 767, 246, 943, 217, 115 |
| 41 | 767, 246, 41, 217, 5 |
| 767, 6, 1, 217, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 41 x 767 x 6 x 1 x 217 x 5 = 9417118620
Therefore, the lowest common multiple of 767,492,943,217,230 is 9417118620.
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.
767 x 492 x 943 x 217 x 230 = 17760685717320
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.
767 : 1, 13, 59, 767
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
943 : 1, 23, 41, 943
217 : 1, 7, 31, 217
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,492,943,217,230, is 1.
Now, the common factors can be found like this.
767:13x 59
492:2x 2x 3x 41
943:23x 41
217:7x 31
230:2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 41 = 1886
Therefore, the value for common factors is 1886.
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 = 17760685717320/(1x1886)
LCM = 17760685717320/1886
LCM = 9417118620
Thus, we can understand that the LCM of 767,492,943,217,230 is 9417118620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 767, 492, 943, 217, 230
1. What is the LCM of 767, 492, 943, 217, 230?
Answer: LCM of 767, 492, 943, 217, 230 is 9417118620.
2. How to calculate the LCM of 767, 492, 943, 217, 230?
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 767, 492, 943, 217, 230.
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}.