LCM of 652, 854, 786, 980, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 854, 786, 980, 764 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 652, 854, 786, 980, 764. So, keep reading to learn more.
Given numbers are 652,854,786,980,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,854,786,980,764 is 731424380820.
Find LCM of 652,854,786,980,764 with Prime Factorization
| 2 | 652, 854, 786, 980, 764 |
| 2 | 326, 427, 393, 490, 382 |
| 7 | 163, 427, 393, 245, 191 |
| 163, 61, 393, 35, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 163 x 61 x 393 x 35 x 191 = 731424380820
Therefore, the lowest common multiple of 652,854,786,980,764 is 731424380820.
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.
652 x 854 x 786 x 980 x 764 = 327678122607360
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.
652 : 1, 2, 4, 163, 326, 652
854 : 1, 2, 7, 14, 61, 122, 427, 854
786 : 1, 2, 3, 6, 131, 262, 393, 786
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
764 : 1, 2, 4, 191, 382, 764
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,854,786,980,764, is 2.
Now, the common factors can be found like this.
652:2x 2x 163
854:2x 7x 61
786:2x 3x 131
980:2x 2x 5x 7x 7
764:2x 2x 191
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 2x 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 327678122607360/(2x224)
LCM = 327678122607360/448
LCM = 731424380820
Thus, we can understand that the LCM of 652,854,786,980,764 is 731424380820.
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FAQs on LCM of 652, 854, 786, 980, 764
1. What is the LCM of 652, 854, 786, 980, 764?
Answer: LCM of 652, 854, 786, 980, 764 is 731424380820.
2. How to calculate the LCM of 652, 854, 786, 980, 764?
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 652, 854, 786, 980, 764.
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}.