LCM of 892, 966, 745, 770, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 966, 745, 770, 893 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 892, 966, 745, 770, 893. So, keep reading to learn more.
Given numbers are 892,966,745,770,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,966,745,770,893 is 3152916010860.
Find LCM of 892,966,745,770,893 with Prime Factorization
| 2 | 892, 966, 745, 770, 893 |
| 5 | 446, 483, 745, 385, 893 |
| 7 | 446, 483, 149, 77, 893 |
| 446, 69, 149, 11, 893 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 446 x 69 x 149 x 11 x 893 = 3152916010860
Therefore, the lowest common multiple of 892,966,745,770,893 is 3152916010860.
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.
892 x 966 x 745 x 770 x 893 = 441408241520400
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.
892 : 1, 2, 4, 223, 446, 892
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
745 : 1, 5, 149, 745
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,966,745,770,893, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
966:2x 3x 7x 23
745:5x 149
770:2x 5x 7x 11
893:19x 47
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 441408241520400/(1x140)
LCM = 441408241520400/140
LCM = 3152916010860
Thus, we can understand that the LCM of 892,966,745,770,893 is 3152916010860.
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FAQs on LCM of 892, 966, 745, 770, 893
1. What is the LCM of 892, 966, 745, 770, 893?
Answer: LCM of 892, 966, 745, 770, 893 is 3152916010860.
2. How to calculate the LCM of 892, 966, 745, 770, 893?
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 892, 966, 745, 770, 893.
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}.