LCM of 546, 237, 247, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 237, 247, 532 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, 237, 247, 532. So, keep reading to learn more.
Given numbers are 546,237,247,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,237,247,532 is 1639092.
Find LCM of 546,237,247,532 with Prime Factorization
| 2 | 546, 237, 247, 532 |
| 3 | 273, 237, 247, 266 |
| 7 | 91, 79, 247, 266 |
| 13 | 13, 79, 247, 38 |
| 19 | 1, 79, 19, 38 |
| 1, 79, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 19 x 1 x 79 x 1 x 2 = 1639092
Therefore, the lowest common multiple of 546,237,247,532 is 1639092.
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 237 x 247 x 532 = 17003940408
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
237 : 1, 3, 79, 237
247 : 1, 13, 19, 247
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,237,247,532, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
237:3x 79
247:13x 19
532:2x 2x 7x 19
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 7x 13x 19 = 10374
Therefore, the value for common factors is 10374.
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 = 17003940408/(1x10374)
LCM = 17003940408/10374
LCM = 1639092
Thus, we can understand that the LCM of 546,237,247,532 is 1639092.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 237, 247, 532
1. What is the LCM of 546, 237, 247, 532?
Answer: LCM of 546, 237, 247, 532 is 1639092.
2. How to calculate the LCM of 546, 237, 247, 532?
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, 237, 247, 532.
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}.