LCM of 644, 600, 699, 624, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 600, 699, 624, 714 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 644, 600, 699, 624, 714. So, keep reading to learn more.
Given numbers are 644,600,699,624,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,600,699,624,714 is 9948447600.
Find LCM of 644,600,699,624,714 with Prime Factorization
| 2 | 644, 600, 699, 624, 714 |
| 2 | 322, 300, 699, 312, 357 |
| 2 | 161, 150, 699, 156, 357 |
| 3 | 161, 75, 699, 78, 357 |
| 7 | 161, 25, 233, 26, 119 |
| 23, 25, 233, 26, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 23 x 25 x 233 x 26 x 17 = 9948447600
Therefore, the lowest common multiple of 644,600,699,624,714 is 9948447600.
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.
644 x 600 x 699 x 624 x 714 = 120336422169600
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
699 : 1, 3, 233, 699
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,600,699,624,714, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
600:2x 2x 2x 3x 5x 5
699:3x 233
624:2x 2x 2x 2x 3x 13
714:2x 3x 7x 17
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 2x 2x 2x 3x 3x 3x 7 = 12096
Therefore, the value for common factors is 12096.
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 = 120336422169600/(1x12096)
LCM = 120336422169600/12096
LCM = 9948447600
Thus, we can understand that the LCM of 644,600,699,624,714 is 9948447600.
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FAQs on LCM of 644, 600, 699, 624, 714
1. What is the LCM of 644, 600, 699, 624, 714?
Answer: LCM of 644, 600, 699, 624, 714 is 9948447600.
2. How to calculate the LCM of 644, 600, 699, 624, 714?
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 644, 600, 699, 624, 714.
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}.