LCM of 140, 782, 374, 799, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 782, 374, 799, 264 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 140, 782, 374, 799, 264. So, keep reading to learn more.
Given numbers are 140,782,374,799,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,782,374,799,264 is 169803480.
Find LCM of 140,782,374,799,264 with Prime Factorization
| 2 | 140, 782, 374, 799, 264 |
| 2 | 70, 391, 187, 799, 132 |
| 11 | 35, 391, 187, 799, 66 |
| 17 | 35, 391, 17, 799, 6 |
| 35, 23, 1, 47, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 35 x 23 x 1 x 47 x 6 = 169803480
Therefore, the lowest common multiple of 140,782,374,799,264 is 169803480.
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.
140 x 782 x 374 x 799 x 264 = 8636884206720
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
782 : 1, 2, 17, 23, 34, 46, 391, 782
374 : 1, 2, 11, 17, 22, 34, 187, 374
799 : 1, 17, 47, 799
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,782,374,799,264, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
782:2x 17x 23
374:2x 11x 17
799:17x 47
264:2x 2x 2x 3x 11
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 11x 17x 17 = 50864
Therefore, the value for common factors is 50864.
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 = 8636884206720/(1x50864)
LCM = 8636884206720/50864
LCM = 169803480
Thus, we can understand that the LCM of 140,782,374,799,264 is 169803480.
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FAQs on LCM of 140, 782, 374, 799, 264
1. What is the LCM of 140, 782, 374, 799, 264?
Answer: LCM of 140, 782, 374, 799, 264 is 169803480.
2. How to calculate the LCM of 140, 782, 374, 799, 264?
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 140, 782, 374, 799, 264.
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}.