LCM of 882, 697, 874, 693, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 697, 874, 693, 153 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 882, 697, 874, 693, 153. So, keep reading to learn more.
Given numbers are 882,697,874,693,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,697,874,693,153 is 2955122478.
Find LCM of 882,697,874,693,153 with Prime Factorization
| 2 | 882, 697, 874, 693, 153 |
| 3 | 441, 697, 437, 693, 153 |
| 3 | 147, 697, 437, 231, 51 |
| 7 | 49, 697, 437, 77, 17 |
| 17 | 7, 697, 437, 11, 17 |
| 7, 41, 437, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 17 x 7 x 41 x 437 x 11 x 1 = 2955122478
Therefore, the lowest common multiple of 882,697,874,693,153 is 2955122478.
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.
882 x 697 x 874 x 693 x 153 = 56968851130884
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
697 : 1, 17, 41, 697
874 : 1, 2, 19, 23, 38, 46, 437, 874
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,697,874,693,153, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
697:17x 41
874:2x 19x 23
693:3x 3x 7x 11
153:3x 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 3x 3x 3x 3x 7x 17 = 19278
Therefore, the value for common factors is 19278.
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 = 56968851130884/(1x19278)
LCM = 56968851130884/19278
LCM = 2955122478
Thus, we can understand that the LCM of 882,697,874,693,153 is 2955122478.
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FAQs on LCM of 882, 697, 874, 693, 153
1. What is the LCM of 882, 697, 874, 693, 153?
Answer: LCM of 882, 697, 874, 693, 153 is 2955122478.
2. How to calculate the LCM of 882, 697, 874, 693, 153?
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 882, 697, 874, 693, 153.
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}.