LCM of 237, 562, 546, 420, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 562, 546, 420, 577 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 237, 562, 546, 420, 577. So, keep reading to learn more.
Given numbers are 237,562,546,420,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,562,546,420,577 is 69936173580.
Find LCM of 237,562,546,420,577 with Prime Factorization
| 2 | 237, 562, 546, 420, 577 |
| 3 | 237, 281, 273, 210, 577 |
| 7 | 79, 281, 91, 70, 577 |
| 79, 281, 13, 10, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 79 x 281 x 13 x 10 x 577 = 69936173580
Therefore, the lowest common multiple of 237,562,546,420,577 is 69936173580.
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.
237 x 562 x 546 x 420 x 577 = 17623915742160
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.
237 : 1, 3, 79, 237
562 : 1, 2, 281, 562
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,562,546,420,577, is 1.
Now, the common factors can be found like this.
237:3x 79
562:2x 281
546:2x 3x 7x 13
420:2x 2x 3x 5x 7
577:577
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 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 17623915742160/(1x252)
LCM = 17623915742160/252
LCM = 69936173580
Thus, we can understand that the LCM of 237,562,546,420,577 is 69936173580.
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FAQs on LCM of 237, 562, 546, 420, 577
1. What is the LCM of 237, 562, 546, 420, 577?
Answer: LCM of 237, 562, 546, 420, 577 is 69936173580.
2. How to calculate the LCM of 237, 562, 546, 420, 577?
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 237, 562, 546, 420, 577.
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}.