LCM of 546, 200, 750, 215, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 200, 750, 215, 602 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 546, 200, 750, 215, 602. So, keep reading to learn more.
Given numbers are 546,200,750,215,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,200,750,215,602 is 11739000.
Find LCM of 546,200,750,215,602 with Prime Factorization
| 2 | 546, 200, 750, 215, 602 |
| 3 | 273, 100, 375, 215, 301 |
| 5 | 91, 100, 125, 215, 301 |
| 5 | 91, 20, 25, 43, 301 |
| 7 | 91, 4, 5, 43, 301 |
| 43 | 13, 4, 5, 43, 43 |
| 13, 4, 5, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 43 x 13 x 4 x 5 x 1 x 1 = 11739000
Therefore, the lowest common multiple of 546,200,750,215,602 is 11739000.
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.
546 x 200 x 750 x 215 x 602 = 10600317000000
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
215 : 1, 5, 43, 215
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,200,750,215,602, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
200:2x 2x 2x 5x 5
750:2x 3x 5x 5x 5
215:5x 43
602:2x 7x 43
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 2x 3x 5x 5x 5x 7x 43 = 903000
Therefore, the value for common factors is 903000.
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 = 10600317000000/(1x903000)
LCM = 10600317000000/903000
LCM = 11739000
Thus, we can understand that the LCM of 546,200,750,215,602 is 11739000.
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FAQs on LCM of 546, 200, 750, 215, 602
1. What is the LCM of 546, 200, 750, 215, 602?
Answer: LCM of 546, 200, 750, 215, 602 is 11739000.
2. How to calculate the LCM of 546, 200, 750, 215, 602?
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 546, 200, 750, 215, 602.
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}.