LCM of 764, 309, 971, 826, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 309, 971, 826, 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 764, 309, 971, 826, 644. So, keep reading to learn more.
Given numbers are 764,309,971,826,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,309,971,826,644 is 2177453832204.
Find LCM of 764,309,971,826,644 with Prime Factorization
| 2 | 764, 309, 971, 826, 644 |
| 2 | 382, 309, 971, 413, 322 |
| 7 | 191, 309, 971, 413, 161 |
| 191, 309, 971, 59, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 191 x 309 x 971 x 59 x 23 = 2177453832204
Therefore, the lowest common multiple of 764,309,971,826,644 is 2177453832204.
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.
764 x 309 x 971 x 826 x 644 = 121937414603424
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.
764 : 1, 2, 4, 191, 382, 764
309 : 1, 3, 103, 309
971 : 1, 971
826 : 1, 2, 7, 14, 59, 118, 413, 826
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 764,309,971,826,644, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
309:3x 103
971:971
826:2x 7x 59
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 2x 7 = 56
Therefore, the value for common factors is 56.
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 = 121937414603424/(1x56)
LCM = 121937414603424/56
LCM = 2177453832204
Thus, we can understand that the LCM of 764,309,971,826,644 is 2177453832204.
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FAQs on LCM of 764, 309, 971, 826, 644
1. What is the LCM of 764, 309, 971, 826, 644?
Answer: LCM of 764, 309, 971, 826, 644 is 2177453832204.
2. How to calculate the LCM of 764, 309, 971, 826, 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 764, 309, 971, 826, 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}.