LCM of 110, 319, 412, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 319, 412, 542 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 110, 319, 412, 542. So, keep reading to learn more.
Given numbers are 110,319,412,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,319,412,542 is 178084940.
Find LCM of 110,319,412,542 with Prime Factorization
| 2 | 110, 319, 412, 542 |
| 11 | 55, 319, 206, 271 |
| 5, 29, 206, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 5 x 29 x 206 x 271 = 178084940
Therefore, the lowest common multiple of 110,319,412,542 is 178084940.
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.
110 x 319 x 412 x 542 = 7835737360
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
319 : 1, 11, 29, 319
412 : 1, 2, 4, 103, 206, 412
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,319,412,542, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
319:11x 29
412:2x 2x 103
542:2x 271
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 11 = 44
Therefore, the value for common factors is 44.
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 = 7835737360/(1x44)
LCM = 7835737360/44
LCM = 178084940
Thus, we can understand that the LCM of 110,319,412,542 is 178084940.
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FAQs on LCM of 110, 319, 412, 542
1. What is the LCM of 110, 319, 412, 542?
Answer: LCM of 110, 319, 412, 542 is 178084940.
2. How to calculate the LCM of 110, 319, 412, 542?
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 110, 319, 412, 542.
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}.