LCM of 964, 782, 892, 765, 491
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 782, 892, 765, 491 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 964, 782, 892, 765, 491. So, keep reading to learn more.
Given numbers are 964,782,892,765,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,782,892,765,491 is 1857174278940.
Find LCM of 964,782,892,765,491 with Prime Factorization
| 2 | 964, 782, 892, 765, 491 |
| 2 | 482, 391, 446, 765, 491 |
| 17 | 241, 391, 223, 765, 491 |
| 241, 23, 223, 45, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 241 x 23 x 223 x 45 x 491 = 1857174278940
Therefore, the lowest common multiple of 964,782,892,765,491 is 1857174278940.
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.
964 x 782 x 892 x 765 x 491 = 252575701935840
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.
964 : 1, 2, 4, 241, 482, 964
782 : 1, 2, 17, 23, 34, 46, 391, 782
892 : 1, 2, 4, 223, 446, 892
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,782,892,765,491, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
782:2x 17x 23
892:2x 2x 223
765:3x 3x 5x 17
491:491
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 17 = 136
Therefore, the value for common factors is 136.
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 = 252575701935840/(1x136)
LCM = 252575701935840/136
LCM = 1857174278940
Thus, we can understand that the LCM of 964,782,892,765,491 is 1857174278940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 782, 892, 765, 491
1. What is the LCM of 964, 782, 892, 765, 491?
Answer: LCM of 964, 782, 892, 765, 491 is 1857174278940.
2. How to calculate the LCM of 964, 782, 892, 765, 491?
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 964, 782, 892, 765, 491.
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}.