LCM of 906, 548, 203, 861, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 548, 203, 861, 426 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 906, 548, 203, 861, 426. So, keep reading to learn more.
Given numbers are 906,548,203,861,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,548,203,861,426 is 146695571652.
Find LCM of 906,548,203,861,426 with Prime Factorization
| 2 | 906, 548, 203, 861, 426 |
| 3 | 453, 274, 203, 861, 213 |
| 7 | 151, 274, 203, 287, 71 |
| 151, 274, 29, 41, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 151 x 274 x 29 x 41 x 71 = 146695571652
Therefore, the lowest common multiple of 906,548,203,861,426 is 146695571652.
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.
906 x 548 x 203 x 861 x 426 = 36967284056304
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
548 : 1, 2, 4, 137, 274, 548
203 : 1, 7, 29, 203
861 : 1, 3, 7, 21, 41, 123, 287, 861
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,548,203,861,426, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
548:2x 2x 137
203:7x 29
861:3x 7x 41
426:2x 3x 71
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 7 = 252
Therefore, the value for common factors is 252.
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 = 36967284056304/(1x252)
LCM = 36967284056304/252
LCM = 146695571652
Thus, we can understand that the LCM of 906,548,203,861,426 is 146695571652.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 548, 203, 861, 426
1. What is the LCM of 906, 548, 203, 861, 426?
Answer: LCM of 906, 548, 203, 861, 426 is 146695571652.
2. How to calculate the LCM of 906, 548, 203, 861, 426?
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 906, 548, 203, 861, 426.
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}.