LCM of 882, 977, 178, 946, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 977, 178, 946, 936 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, 977, 178, 946, 936. So, keep reading to learn more.
Given numbers are 882,977,178,946,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,977,178,946,936 is 1886329861416.
Find LCM of 882,977,178,946,936 with Prime Factorization
| 2 | 882, 977, 178, 946, 936 |
| 3 | 441, 977, 89, 473, 468 |
| 3 | 147, 977, 89, 473, 156 |
| 49, 977, 89, 473, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 49 x 977 x 89 x 473 x 52 = 1886329861416
Therefore, the lowest common multiple of 882,977,178,946,936 is 1886329861416.
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 977 x 178 x 946 x 936 = 135815750021952
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
977 : 1, 977
178 : 1, 2, 89, 178
946 : 1, 2, 11, 22, 43, 86, 473, 946
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,977,178,946,936, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
977:977
178:2x 89
946:2x 11x 43
936:2x 2x 2x 3x 3x 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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 135815750021952/(1x72)
LCM = 135815750021952/72
LCM = 1886329861416
Thus, we can understand that the LCM of 882,977,178,946,936 is 1886329861416.
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FAQs on LCM of 882, 977, 178, 946, 936
1. What is the LCM of 882, 977, 178, 946, 936?
Answer: LCM of 882, 977, 178, 946, 936 is 1886329861416.
2. How to calculate the LCM of 882, 977, 178, 946, 936?
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, 977, 178, 946, 936.
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}.