Find the LCM of 906, 377, 486, 549, 543 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, 377, 486, 549, 543. So, keep reading to learn more.
Given numbers are 906,377,486,549,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,377,486,549,543 is 305466069402.
Find LCM of 906,377,486,549,543 with Prime Factorization
2 | 906, 377, 486, 549, 543 |
3 | 453, 377, 243, 549, 543 |
3 | 151, 377, 81, 183, 181 |
151, 377, 27, 61, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 151 x 377 x 27 x 61 x 181 = 305466069402
Therefore, the lowest common multiple of 906,377,486,549,543 is 305466069402.
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 377 x 486 x 549 x 543 = 49485503243124
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
377 : 1, 13, 29, 377
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
549 : 1, 3, 9, 61, 183, 549
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,377,486,549,543, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
377:13x 29
486:2x 3x 3x 3x 3x 3
549:3x 3x 61
543:3x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 49485503243124/(1x162)
LCM = 49485503243124/162
LCM = 305466069402
Thus, we can understand that the LCM of 906,377,486,549,543 is 305466069402.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 377, 486, 549, 543?
Answer: LCM of 906, 377, 486, 549, 543 is 305466069402.
2. How to calculate the LCM of 906, 377, 486, 549, 543?
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, 377, 486, 549, 543.
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}.