LCM of 845, 748, 540, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 748, 540, 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 845, 748, 540, 543. So, keep reading to learn more.
Given numbers are 845,748,540,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,748,540,543 is 3088877220.
Find LCM of 845,748,540,543 with Prime Factorization
| 2 | 845, 748, 540, 543 |
| 2 | 845, 374, 270, 543 |
| 3 | 845, 187, 135, 543 |
| 5 | 845, 187, 45, 181 |
| 169, 187, 9, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 169 x 187 x 9 x 181 = 3088877220
Therefore, the lowest common multiple of 845,748,540,543 is 3088877220.
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.
845 x 748 x 540 x 543 = 185332633200
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.
845 : 1, 5, 13, 65, 169, 845
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,748,540,543, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
748:2x 2x 11x 17
540:2x 2x 3x 3x 3x 5
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 2x 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 185332633200/(1x60)
LCM = 185332633200/60
LCM = 3088877220
Thus, we can understand that the LCM of 845,748,540,543 is 3088877220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 748, 540, 543
1. What is the LCM of 845, 748, 540, 543?
Answer: LCM of 845, 748, 540, 543 is 3088877220.
2. How to calculate the LCM of 845, 748, 540, 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 845, 748, 540, 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}.