LCM of 847, 702, 884, 628, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 702, 884, 628, 546 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, 702, 884, 628, 546. So, keep reading to learn more.
Given numbers are 847,702,884,628,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,702,884,628,546 is 3173942772.
Find LCM of 847,702,884,628,546 with Prime Factorization
| 2 | 847, 702, 884, 628, 546 |
| 2 | 847, 351, 442, 314, 273 |
| 3 | 847, 351, 221, 157, 273 |
| 7 | 847, 117, 221, 157, 91 |
| 13 | 121, 117, 221, 157, 13 |
| 121, 9, 17, 157, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 121 x 9 x 17 x 157 x 1 = 3173942772
Therefore, the lowest common multiple of 847,702,884,628,546 is 3173942772.
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 702 x 884 x 628 x 546 = 180229166365248
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
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
628 : 1, 2, 4, 157, 314, 628
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,702,884,628,546, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
702:2x 3x 3x 3x 13
884:2x 2x 13x 17
628:2x 2x 157
546:2x 3x 7x 13
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 3x 7x 13x 13 = 56784
Therefore, the value for common factors is 56784.
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 = 180229166365248/(1x56784)
LCM = 180229166365248/56784
LCM = 3173942772
Thus, we can understand that the LCM of 847,702,884,628,546 is 3173942772.
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FAQs on LCM of 847, 702, 884, 628, 546
1. What is the LCM of 847, 702, 884, 628, 546?
Answer: LCM of 847, 702, 884, 628, 546 is 3173942772.
2. How to calculate the LCM of 847, 702, 884, 628, 546?
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, 702, 884, 628, 546.
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}.