LCM of 169, 138, 537, 938, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 138, 537, 938, 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 169, 138, 537, 938, 893. So, keep reading to learn more.
Given numbers are 169,138,537,938,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,138,537,938,893 is 1748409363246.
Find LCM of 169,138,537,938,893 with Prime Factorization
| 2 | 169, 138, 537, 938, 893 |
| 3 | 169, 69, 537, 469, 893 |
| 169, 23, 179, 469, 893 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 169 x 23 x 179 x 469 x 893 = 1748409363246
Therefore, the lowest common multiple of 169,138,537,938,893 is 1748409363246.
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.
169 x 138 x 537 x 938 x 893 = 10490456179476
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.
169 : 1, 13, 169
138 : 1, 2, 3, 6, 23, 46, 69, 138
537 : 1, 3, 179, 537
938 : 1, 2, 7, 14, 67, 134, 469, 938
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,138,537,938,893, is 1.
Now, the common factors can be found like this.
169:13x 13
138:2x 3x 23
537:3x 179
938:2x 7x 67
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 3 = 6
Therefore, the value for common factors is 6.
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 = 10490456179476/(1x6)
LCM = 10490456179476/6
LCM = 1748409363246
Thus, we can understand that the LCM of 169,138,537,938,893 is 1748409363246.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 169, 138, 537, 938, 893
1. What is the LCM of 169, 138, 537, 938, 893?
Answer: LCM of 169, 138, 537, 938, 893 is 1748409363246.
2. How to calculate the LCM of 169, 138, 537, 938, 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 169, 138, 537, 938, 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}.