LCM of 860, 436, 989, 721, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 436, 989, 721, 658 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 860, 436, 989, 721, 658. So, keep reading to learn more.
Given numbers are 860,436,989,721,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,436,989,721,658 is 73061049740.
Find LCM of 860,436,989,721,658 with Prime Factorization
| 2 | 860, 436, 989, 721, 658 |
| 2 | 430, 218, 989, 721, 329 |
| 7 | 215, 109, 989, 721, 329 |
| 43 | 215, 109, 989, 103, 47 |
| 5, 109, 23, 103, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 43 x 5 x 109 x 23 x 103 x 47 = 73061049740
Therefore, the lowest common multiple of 860,436,989,721,658 is 73061049740.
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.
860 x 436 x 989 x 721 x 658 = 175931007773920
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
436 : 1, 2, 4, 109, 218, 436
989 : 1, 23, 43, 989
721 : 1, 7, 103, 721
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,436,989,721,658, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
436:2x 2x 109
989:23x 43
721:7x 103
658:2x 7x 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 2x 7x 43 = 2408
Therefore, the value for common factors is 2408.
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 = 175931007773920/(1x2408)
LCM = 175931007773920/2408
LCM = 73061049740
Thus, we can understand that the LCM of 860,436,989,721,658 is 73061049740.
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FAQs on LCM of 860, 436, 989, 721, 658
1. What is the LCM of 860, 436, 989, 721, 658?
Answer: LCM of 860, 436, 989, 721, 658 is 73061049740.
2. How to calculate the LCM of 860, 436, 989, 721, 658?
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 860, 436, 989, 721, 658.
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}.