LCM of 565, 209, 678, 374, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 209, 678, 374, 262 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 565, 209, 678, 374, 262. So, keep reading to learn more.
Given numbers are 565,209,678,374,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,209,678,374,262 is 1577851770.
Find LCM of 565,209,678,374,262 with Prime Factorization
| 2 | 565, 209, 678, 374, 262 |
| 11 | 565, 209, 339, 187, 131 |
| 113 | 565, 19, 339, 17, 131 |
| 5, 19, 3, 17, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 113 x 5 x 19 x 3 x 17 x 131 = 1577851770
Therefore, the lowest common multiple of 565,209,678,374,262 is 1577851770.
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.
565 x 209 x 678 x 374 x 262 = 7845079000440
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.
565 : 1, 5, 113, 565
209 : 1, 11, 19, 209
678 : 1, 2, 3, 6, 113, 226, 339, 678
374 : 1, 2, 11, 17, 22, 34, 187, 374
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,209,678,374,262, is 1.
Now, the common factors can be found like this.
565:5x 113
209:11x 19
678:2x 3x 113
374:2x 11x 17
262:2x 131
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 11x 113 = 4972
Therefore, the value for common factors is 4972.
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 = 7845079000440/(1x4972)
LCM = 7845079000440/4972
LCM = 1577851770
Thus, we can understand that the LCM of 565,209,678,374,262 is 1577851770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 209, 678, 374, 262
1. What is the LCM of 565, 209, 678, 374, 262?
Answer: LCM of 565, 209, 678, 374, 262 is 1577851770.
2. How to calculate the LCM of 565, 209, 678, 374, 262?
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 565, 209, 678, 374, 262.
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}.