LCM of 949, 548, 740, 861, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 548, 740, 861, 492 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 949, 548, 740, 861, 492. So, keep reading to learn more.
Given numbers are 949,548,740,861,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,548,740,861,492 is 82836482820.
Find LCM of 949,548,740,861,492 with Prime Factorization
| 2 | 949, 548, 740, 861, 492 |
| 2 | 949, 274, 370, 861, 246 |
| 3 | 949, 137, 185, 861, 123 |
| 41 | 949, 137, 185, 287, 41 |
| 949, 137, 185, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 949 x 137 x 185 x 7 x 1 = 82836482820
Therefore, the lowest common multiple of 949,548,740,861,492 is 82836482820.
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.
949 x 548 x 740 x 861 x 492 = 163022198189760
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.
949 : 1, 13, 73, 949
548 : 1, 2, 4, 137, 274, 548
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
861 : 1, 3, 7, 21, 41, 123, 287, 861
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,548,740,861,492, is 1.
Now, the common factors can be found like this.
949:13x 73
548:2x 2x 137
740:2x 2x 5x 37
861:3x 7x 41
492:2x 2x 3x 41
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 2x 3x 41 = 1968
Therefore, the value for common factors is 1968.
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 = 163022198189760/(1x1968)
LCM = 163022198189760/1968
LCM = 82836482820
Thus, we can understand that the LCM of 949,548,740,861,492 is 82836482820.
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FAQs on LCM of 949, 548, 740, 861, 492
1. What is the LCM of 949, 548, 740, 861, 492?
Answer: LCM of 949, 548, 740, 861, 492 is 82836482820.
2. How to calculate the LCM of 949, 548, 740, 861, 492?
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 949, 548, 740, 861, 492.
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}.