LCM of 989, 749, 595, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 749, 595, 734 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 989, 749, 595, 734. So, keep reading to learn more.
Given numbers are 989,749,595,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,749,595,734 is 46216078790.
Find LCM of 989,749,595,734 with Prime Factorization
| 7 | 989, 749, 595, 734 |
| 989, 107, 85, 734 |
Multiply the prime numbers at the bottom and the left side.
7 x 989 x 107 x 85 x 734 = 46216078790
Therefore, the lowest common multiple of 989,749,595,734 is 46216078790.
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.
989 x 749 x 595 x 734 = 323512551530
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.
989 : 1, 23, 43, 989
749 : 1, 7, 107, 749
595 : 1, 5, 7, 17, 35, 85, 119, 595
734 : 1, 2, 367, 734
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,749,595,734, is 1.
Now, the common factors can be found like this.
989:23x 43
749:7x 107
595:5x 7x 17
734:2x 367
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 323512551530/(1x7)
LCM = 323512551530/7
LCM = 46216078790
Thus, we can understand that the LCM of 989,749,595,734 is 46216078790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 749, 595, 734
1. What is the LCM of 989, 749, 595, 734?
Answer: LCM of 989, 749, 595, 734 is 46216078790.
2. How to calculate the LCM of 989, 749, 595, 734?
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 989, 749, 595, 734.
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}.