LCM of 906, 302, 738, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 302, 738, 613 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, 302, 738, 613. So, keep reading to learn more.
Given numbers are 906,302,738,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,302,738,613 is 68311494.
Find LCM of 906,302,738,613 with Prime Factorization
| 2 | 906, 302, 738, 613 |
| 3 | 453, 151, 369, 613 |
| 151 | 151, 151, 123, 613 |
| 1, 1, 123, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 1 x 1 x 123 x 613 = 68311494
Therefore, the lowest common multiple of 906,302,738,613 is 68311494.
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 302 x 738 x 613 = 123780427128
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
302 : 1, 2, 151, 302
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,302,738,613, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
302:2x 151
738:2x 3x 3x 41
613:613
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 151 = 1812
Therefore, the value for common factors is 1812.
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 = 123780427128/(1x1812)
LCM = 123780427128/1812
LCM = 68311494
Thus, we can understand that the LCM of 906,302,738,613 is 68311494.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 302, 738, 613
1. What is the LCM of 906, 302, 738, 613?
Answer: LCM of 906, 302, 738, 613 is 68311494.
2. How to calculate the LCM of 906, 302, 738, 613?
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, 302, 738, 613.
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}.