LCM of 847, 758, 952, 583, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 758, 952, 583, 612 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 847, 758, 952, 583, 612. So, keep reading to learn more.
Given numbers are 847,758,952,583,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,758,952,583,612 is 20824755336.
Find LCM of 847,758,952,583,612 with Prime Factorization
| 2 | 847, 758, 952, 583, 612 |
| 2 | 847, 379, 476, 583, 306 |
| 7 | 847, 379, 238, 583, 153 |
| 11 | 121, 379, 34, 583, 153 |
| 17 | 11, 379, 34, 53, 153 |
| 11, 379, 2, 53, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 17 x 11 x 379 x 2 x 53 x 9 = 20824755336
Therefore, the lowest common multiple of 847,758,952,583,612 is 20824755336.
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.
847 x 758 x 952 x 583 x 612 = 218076837878592
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.
847 : 1, 7, 11, 77, 121, 847
758 : 1, 2, 379, 758
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
583 : 1, 11, 53, 583
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,758,952,583,612, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
758:2x 379
952:2x 2x 2x 7x 17
583:11x 53
612:2x 2x 3x 3x 17
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 7x 11x 17 = 10472
Therefore, the value for common factors is 10472.
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 = 218076837878592/(1x10472)
LCM = 218076837878592/10472
LCM = 20824755336
Thus, we can understand that the LCM of 847,758,952,583,612 is 20824755336.
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FAQs on LCM of 847, 758, 952, 583, 612
1. What is the LCM of 847, 758, 952, 583, 612?
Answer: LCM of 847, 758, 952, 583, 612 is 20824755336.
2. How to calculate the LCM of 847, 758, 952, 583, 612?
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 847, 758, 952, 583, 612.
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}.