LCM of 937, 897, 354, 658, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 897, 354, 658, 611 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 937, 897, 354, 658, 611. So, keep reading to learn more.
Given numbers are 937,897,354,658,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,897,354,658,611 is 32629463958.
Find LCM of 937,897,354,658,611 with Prime Factorization
| 2 | 937, 897, 354, 658, 611 |
| 3 | 937, 897, 177, 329, 611 |
| 13 | 937, 299, 59, 329, 611 |
| 47 | 937, 23, 59, 329, 47 |
| 937, 23, 59, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 47 x 937 x 23 x 59 x 7 x 1 = 32629463958
Therefore, the lowest common multiple of 937,897,354,658,611 is 32629463958.
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.
937 x 897 x 354 x 658 x 611 = 119619614870028
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.
937 : 1, 937
897 : 1, 3, 13, 23, 39, 69, 299, 897
354 : 1, 2, 3, 6, 59, 118, 177, 354
658 : 1, 2, 7, 14, 47, 94, 329, 658
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,897,354,658,611, is 1.
Now, the common factors can be found like this.
937:937
897:3x 13x 23
354:2x 3x 59
658:2x 7x 47
611:13x 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 3x 13x 47 = 3666
Therefore, the value for common factors is 3666.
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 = 119619614870028/(1x3666)
LCM = 119619614870028/3666
LCM = 32629463958
Thus, we can understand that the LCM of 937,897,354,658,611 is 32629463958.
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FAQs on LCM of 937, 897, 354, 658, 611
1. What is the LCM of 937, 897, 354, 658, 611?
Answer: LCM of 937, 897, 354, 658, 611 is 32629463958.
2. How to calculate the LCM of 937, 897, 354, 658, 611?
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 937, 897, 354, 658, 611.
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}.