LCM of 757, 828, 644, 722, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 828, 644, 722, 321 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 757, 828, 644, 722, 321. So, keep reading to learn more.
Given numbers are 757,828,644,722,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,828,644,722,321 is 169478743644.
Find LCM of 757,828,644,722,321 with Prime Factorization
| 2 | 757, 828, 644, 722, 321 |
| 2 | 757, 414, 322, 361, 321 |
| 3 | 757, 207, 161, 361, 321 |
| 23 | 757, 69, 161, 361, 107 |
| 757, 3, 7, 361, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 757 x 3 x 7 x 361 x 107 = 169478743644
Therefore, the lowest common multiple of 757,828,644,722,321 is 169478743644.
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.
757 x 828 x 644 x 722 x 321 = 93552266491488
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.
757 : 1, 757
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
722 : 1, 2, 19, 38, 361, 722
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,828,644,722,321, is 1.
Now, the common factors can be found like this.
757:757
828:2x 2x 3x 3x 23
644:2x 2x 7x 23
722:2x 19x 19
321:3x 107
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 93552266491488/(1x552)
LCM = 93552266491488/552
LCM = 169478743644
Thus, we can understand that the LCM of 757,828,644,722,321 is 169478743644.
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FAQs on LCM of 757, 828, 644, 722, 321
1. What is the LCM of 757, 828, 644, 722, 321?
Answer: LCM of 757, 828, 644, 722, 321 is 169478743644.
2. How to calculate the LCM of 757, 828, 644, 722, 321?
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 757, 828, 644, 722, 321.
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}.