LCM of 487, 174, 137, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 174, 137, 834 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 487, 174, 137, 834. So, keep reading to learn more.
Given numbers are 487,174,137,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,174,137,834 is 1613665734.
Find LCM of 487,174,137,834 with Prime Factorization
| 2 | 487, 174, 137, 834 |
| 3 | 487, 87, 137, 417 |
| 487, 29, 137, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 487 x 29 x 137 x 139 = 1613665734
Therefore, the lowest common multiple of 487,174,137,834 is 1613665734.
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.
487 x 174 x 137 x 834 = 9681994404
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.
487 : 1, 487
174 : 1, 2, 3, 6, 29, 58, 87, 174
137 : 1, 137
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,174,137,834, is 1.
Now, the common factors can be found like this.
487:487
174:2x 3x 29
137:137
834:2x 3x 139
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 = 9681994404/(1x6)
LCM = 9681994404/6
LCM = 1613665734
Thus, we can understand that the LCM of 487,174,137,834 is 1613665734.
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FAQs on LCM of 487, 174, 137, 834
1. What is the LCM of 487, 174, 137, 834?
Answer: LCM of 487, 174, 137, 834 is 1613665734.
2. How to calculate the LCM of 487, 174, 137, 834?
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 487, 174, 137, 834.
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}.