LCM of 611, 532, 484, 397, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 532, 484, 397, 893 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 611, 532, 484, 397, 893. So, keep reading to learn more.
Given numbers are 611,532,484,397,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,532,484,397,893 is 15614522924.
Find LCM of 611,532,484,397,893 with Prime Factorization
| 2 | 611, 532, 484, 397, 893 |
| 2 | 611, 266, 242, 397, 893 |
| 19 | 611, 133, 121, 397, 893 |
| 47 | 611, 7, 121, 397, 47 |
| 13, 7, 121, 397, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 47 x 13 x 7 x 121 x 397 x 1 = 15614522924
Therefore, the lowest common multiple of 611,532,484,397,893 is 15614522924.
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.
611 x 532 x 484 x 397 x 893 = 55775075884528
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.
611 : 1, 13, 47, 611
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
397 : 1, 397
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,532,484,397,893, is 1.
Now, the common factors can be found like this.
611:13x 47
532:2x 2x 7x 19
484:2x 2x 11x 11
397:397
893:19x 47
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 47 = 3572
Therefore, the value for common factors is 3572.
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 = 55775075884528/(1x3572)
LCM = 55775075884528/3572
LCM = 15614522924
Thus, we can understand that the LCM of 611,532,484,397,893 is 15614522924.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 611, 532, 484, 397, 893
1. What is the LCM of 611, 532, 484, 397, 893?
Answer: LCM of 611, 532, 484, 397, 893 is 15614522924.
2. How to calculate the LCM of 611, 532, 484, 397, 893?
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 611, 532, 484, 397, 893.
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}.