LCM of 645, 506, 266, 805, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 506, 266, 805, 492 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 645, 506, 266, 805, 492. So, keep reading to learn more.
Given numbers are 645,506,266,805,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,506,266,805,492 is 3559391220.
Find LCM of 645,506,266,805,492 with Prime Factorization
| 2 | 645, 506, 266, 805, 492 |
| 3 | 645, 253, 133, 805, 246 |
| 5 | 215, 253, 133, 805, 82 |
| 7 | 43, 253, 133, 161, 82 |
| 23 | 43, 253, 19, 23, 82 |
| 43, 11, 19, 1, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 23 x 43 x 11 x 19 x 1 x 82 = 3559391220
Therefore, the lowest common multiple of 645,506,266,805,492 is 3559391220.
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.
645 x 506 x 266 x 805 x 492 = 34383719185200
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
506 : 1, 2, 11, 22, 23, 46, 253, 506
266 : 1, 2, 7, 14, 19, 38, 133, 266
805 : 1, 5, 7, 23, 35, 115, 161, 805
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,506,266,805,492, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
506:2x 11x 23
266:2x 7x 19
805:5x 7x 23
492:2x 2x 3x 41
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 5x 7x 23 = 9660
Therefore, the value for common factors is 9660.
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 = 34383719185200/(1x9660)
LCM = 34383719185200/9660
LCM = 3559391220
Thus, we can understand that the LCM of 645,506,266,805,492 is 3559391220.
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FAQs on LCM of 645, 506, 266, 805, 492
1. What is the LCM of 645, 506, 266, 805, 492?
Answer: LCM of 645, 506, 266, 805, 492 is 3559391220.
2. How to calculate the LCM of 645, 506, 266, 805, 492?
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 645, 506, 266, 805, 492.
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}.