LCM of 241, 532, 361, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 532, 361, 988 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 241, 532, 361, 988. So, keep reading to learn more.
Given numbers are 241,532,361,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,532,361,988 is 31668364.
Find LCM of 241,532,361,988 with Prime Factorization
| 2 | 241, 532, 361, 988 |
| 2 | 241, 266, 361, 494 |
| 19 | 241, 133, 361, 247 |
| 241, 7, 19, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 241 x 7 x 19 x 13 = 31668364
Therefore, the lowest common multiple of 241,532,361,988 is 31668364.
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.
241 x 532 x 361 x 988 = 45729117616
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.
241 : 1, 241
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
361 : 1, 19, 361
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,532,361,988, is 1.
Now, the common factors can be found like this.
241:241
532:2x 2x 7x 19
361:19x 19
988:2x 2x 13x 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 2x 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 45729117616/(1x1444)
LCM = 45729117616/1444
LCM = 31668364
Thus, we can understand that the LCM of 241,532,361,988 is 31668364.
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FAQs on LCM of 241, 532, 361, 988
1. What is the LCM of 241, 532, 361, 988?
Answer: LCM of 241, 532, 361, 988 is 31668364.
2. How to calculate the LCM of 241, 532, 361, 988?
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 241, 532, 361, 988.
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}.