LCM of 782, 689, 276, 733, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 689, 276, 733, 774 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 782, 689, 276, 733, 774. So, keep reading to learn more.
Given numbers are 782,689,276,733,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,689,276,733,774 is 305682734916.
Find LCM of 782,689,276,733,774 with Prime Factorization
| 2 | 782, 689, 276, 733, 774 |
| 3 | 391, 689, 138, 733, 387 |
| 23 | 391, 689, 46, 733, 129 |
| 17, 689, 2, 733, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 17 x 689 x 2 x 733 x 129 = 305682734916
Therefore, the lowest common multiple of 782,689,276,733,774 is 305682734916.
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.
782 x 689 x 276 x 733 x 774 = 84368434836816
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
689 : 1, 13, 53, 689
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
733 : 1, 733
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,689,276,733,774, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
689:13x 53
276:2x 2x 3x 23
733:733
774:2x 3x 3x 43
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 23 = 276
Therefore, the value for common factors is 276.
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 = 84368434836816/(1x276)
LCM = 84368434836816/276
LCM = 305682734916
Thus, we can understand that the LCM of 782,689,276,733,774 is 305682734916.
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FAQs on LCM of 782, 689, 276, 733, 774
1. What is the LCM of 782, 689, 276, 733, 774?
Answer: LCM of 782, 689, 276, 733, 774 is 305682734916.
2. How to calculate the LCM of 782, 689, 276, 733, 774?
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 782, 689, 276, 733, 774.
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}.