LCM of 859, 282, 174, 174, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 282, 174, 174, 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 859, 282, 174, 174, 893. So, keep reading to learn more.
Given numbers are 859,282,174,174,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,282,174,174,893 is 133473138.
Find LCM of 859,282,174,174,893 with Prime Factorization
| 2 | 859, 282, 174, 174, 893 |
| 3 | 859, 141, 87, 87, 893 |
| 29 | 859, 47, 29, 29, 893 |
| 47 | 859, 47, 1, 1, 893 |
| 859, 1, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 47 x 859 x 1 x 1 x 1 x 19 = 133473138
Therefore, the lowest common multiple of 859,282,174,174,893 is 133473138.
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.
859 x 282 x 174 x 174 x 893 = 6549259935384
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.
859 : 1, 859
282 : 1, 2, 3, 6, 47, 94, 141, 282
174 : 1, 2, 3, 6, 29, 58, 87, 174
174 : 1, 2, 3, 6, 29, 58, 87, 174
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,282,174,174,893, is 1.
Now, the common factors can be found like this.
859:859
282:2x 3x 47
174:2x 3x 29
174:2x 3x 29
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 3x 3x 29x 47 = 49068
Therefore, the value for common factors is 49068.
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 = 6549259935384/(1x49068)
LCM = 6549259935384/49068
LCM = 133473138
Thus, we can understand that the LCM of 859,282,174,174,893 is 133473138.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 859, 282, 174, 174, 893
1. What is the LCM of 859, 282, 174, 174, 893?
Answer: LCM of 859, 282, 174, 174, 893 is 133473138.
2. How to calculate the LCM of 859, 282, 174, 174, 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 859, 282, 174, 174, 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}.