LCM of 542, 453, 771, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 453, 771, 765 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 542, 453, 771, 765. So, keep reading to learn more.
Given numbers are 542,453,771,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,453,771,765 is 16090546410.
Find LCM of 542,453,771,765 with Prime Factorization
| 3 | 542, 453, 771, 765 |
| 542, 151, 257, 255 |
Multiply the prime numbers at the bottom and the left side.
3 x 542 x 151 x 257 x 255 = 16090546410
Therefore, the lowest common multiple of 542,453,771,765 is 16090546410.
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.
542 x 453 x 771 x 765 = 144814917690
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.
542 : 1, 2, 271, 542
453 : 1, 3, 151, 453
771 : 1, 3, 257, 771
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,453,771,765, is 1.
Now, the common factors can be found like this.
542:2x 271
453:3x 151
771:3x 257
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 144814917690/(1x9)
LCM = 144814917690/9
LCM = 16090546410
Thus, we can understand that the LCM of 542,453,771,765 is 16090546410.
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FAQs on LCM of 542, 453, 771, 765
1. What is the LCM of 542, 453, 771, 765?
Answer: LCM of 542, 453, 771, 765 is 16090546410.
2. How to calculate the LCM of 542, 453, 771, 765?
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 542, 453, 771, 765.
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}.