LCM of 645, 506, 735, 411, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 506, 735, 411, 782 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, 735, 411, 782. So, keep reading to learn more.
Given numbers are 645,506,735,411,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,506,735,411,782 is 37245670770.
Find LCM of 645,506,735,411,782 with Prime Factorization
| 2 | 645, 506, 735, 411, 782 |
| 3 | 645, 253, 735, 411, 391 |
| 5 | 215, 253, 245, 137, 391 |
| 23 | 43, 253, 49, 137, 391 |
| 43, 11, 49, 137, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 43 x 11 x 49 x 137 x 17 = 37245670770
Therefore, the lowest common multiple of 645,506,735,411,782 is 37245670770.
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 735 x 411 x 782 = 77098538493900
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
411 : 1, 3, 137, 411
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,506,735,411,782, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
506:2x 11x 23
735:3x 5x 7x 7
411:3x 137
782:2x 17x 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 3x 3x 5x 23 = 2070
Therefore, the value for common factors is 2070.
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 = 77098538493900/(1x2070)
LCM = 77098538493900/2070
LCM = 37245670770
Thus, we can understand that the LCM of 645,506,735,411,782 is 37245670770.
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FAQs on LCM of 645, 506, 735, 411, 782
1. What is the LCM of 645, 506, 735, 411, 782?
Answer: LCM of 645, 506, 735, 411, 782 is 37245670770.
2. How to calculate the LCM of 645, 506, 735, 411, 782?
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, 735, 411, 782.
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}.