LCM of 921, 782, 997, 758, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 782, 997, 758, 644 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 921, 782, 997, 758, 644. So, keep reading to learn more.
Given numbers are 921,782,997,758,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,782,997,758,644 is 3810033438204.
Find LCM of 921,782,997,758,644 with Prime Factorization
| 2 | 921, 782, 997, 758, 644 |
| 23 | 921, 391, 997, 379, 322 |
| 921, 17, 997, 379, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 921 x 17 x 997 x 379 x 14 = 3810033438204
Therefore, the lowest common multiple of 921,782,997,758,644 is 3810033438204.
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.
921 x 782 x 997 x 758 x 644 = 350523076314768
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.
921 : 1, 3, 307, 921
782 : 1, 2, 17, 23, 34, 46, 391, 782
997 : 1, 997
758 : 1, 2, 379, 758
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,782,997,758,644, is 1.
Now, the common factors can be found like this.
921:3x 307
782:2x 17x 23
997:997
758:2x 379
644:2x 2x 7x 23
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 23 = 92
Therefore, the value for common factors is 92.
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 = 350523076314768/(1x92)
LCM = 350523076314768/92
LCM = 3810033438204
Thus, we can understand that the LCM of 921,782,997,758,644 is 3810033438204.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 921, 782, 997, 758, 644
1. What is the LCM of 921, 782, 997, 758, 644?
Answer: LCM of 921, 782, 997, 758, 644 is 3810033438204.
2. How to calculate the LCM of 921, 782, 997, 758, 644?
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 921, 782, 997, 758, 644.
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}.