LCM of 547, 918, 846, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 918, 846, 567 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 547, 918, 846, 567. So, keep reading to learn more.
Given numbers are 547,918,846,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,918,846,567 is 495618102.
Find LCM of 547,918,846,567 with Prime Factorization
| 2 | 547, 918, 846, 567 |
| 3 | 547, 459, 423, 567 |
| 3 | 547, 153, 141, 189 |
| 3 | 547, 51, 47, 63 |
| 547, 17, 47, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 547 x 17 x 47 x 21 = 495618102
Therefore, the lowest common multiple of 547,918,846,567 is 495618102.
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.
547 x 918 x 846 x 567 = 240870397572
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.
547 : 1, 547
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,918,846,567, is 1.
Now, the common factors can be found like this.
547:547
918:2x 3x 3x 3x 17
846:2x 3x 3x 47
567:3x 3x 3x 3x 7
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 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 240870397572/(1x486)
LCM = 240870397572/486
LCM = 495618102
Thus, we can understand that the LCM of 547,918,846,567 is 495618102.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 547, 918, 846, 567
1. What is the LCM of 547, 918, 846, 567?
Answer: LCM of 547, 918, 846, 567 is 495618102.
2. How to calculate the LCM of 547, 918, 846, 567?
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 547, 918, 846, 567.
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}.