LCM of 658, 364, 611, 881, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 364, 611, 881, 574 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 658, 364, 611, 881, 574. So, keep reading to learn more.
Given numbers are 658,364,611,881,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,364,611,881,574 is 617958068.
Find LCM of 658,364,611,881,574 with Prime Factorization
| 2 | 658, 364, 611, 881, 574 |
| 7 | 329, 182, 611, 881, 287 |
| 13 | 47, 26, 611, 881, 41 |
| 47 | 47, 2, 47, 881, 41 |
| 1, 2, 1, 881, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 47 x 1 x 2 x 1 x 881 x 41 = 617958068
Therefore, the lowest common multiple of 658,364,611,881,574 is 617958068.
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.
658 x 364 x 611 x 881 x 574 = 74004186391408
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
611 : 1, 13, 47, 611
881 : 1, 881
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,364,611,881,574, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
364:2x 2x 7x 13
611:13x 47
881:881
574:2x 7x 41
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 7x 7x 13x 47 = 119756
Therefore, the value for common factors is 119756.
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 = 74004186391408/(1x119756)
LCM = 74004186391408/119756
LCM = 617958068
Thus, we can understand that the LCM of 658,364,611,881,574 is 617958068.
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FAQs on LCM of 658, 364, 611, 881, 574
1. What is the LCM of 658, 364, 611, 881, 574?
Answer: LCM of 658, 364, 611, 881, 574 is 617958068.
2. How to calculate the LCM of 658, 364, 611, 881, 574?
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 658, 364, 611, 881, 574.
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}.