LCM of 783, 207, 782, 649, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 207, 782, 649, 767 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 783, 207, 782, 649, 767. So, keep reading to learn more.
Given numbers are 783,207,782,649,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,207,782,649,767 is 5166025722.
Find LCM of 783,207,782,649,767 with Prime Factorization
| 3 | 783, 207, 782, 649, 767 |
| 3 | 261, 69, 782, 649, 767 |
| 23 | 87, 23, 782, 649, 767 |
| 59 | 87, 1, 34, 649, 767 |
| 87, 1, 34, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 59 x 87 x 1 x 34 x 11 x 13 = 5166025722
Therefore, the lowest common multiple of 783,207,782,649,767 is 5166025722.
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.
783 x 207 x 782 x 649 x 767 = 63092672142786
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
207 : 1, 3, 9, 23, 69, 207
782 : 1, 2, 17, 23, 34, 46, 391, 782
649 : 1, 11, 59, 649
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,207,782,649,767, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
207:3x 3x 23
782:2x 17x 23
649:11x 59
767:13x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23x 59 = 12213
Therefore, the value for common factors is 12213.
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 = 63092672142786/(1x12213)
LCM = 63092672142786/12213
LCM = 5166025722
Thus, we can understand that the LCM of 783,207,782,649,767 is 5166025722.
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FAQs on LCM of 783, 207, 782, 649, 767
1. What is the LCM of 783, 207, 782, 649, 767?
Answer: LCM of 783, 207, 782, 649, 767 is 5166025722.
2. How to calculate the LCM of 783, 207, 782, 649, 767?
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 783, 207, 782, 649, 767.
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}.