LCM of 724, 941, 756, 600, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 941, 756, 600, 993 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 724, 941, 756, 600, 993. So, keep reading to learn more.
Given numbers are 724,941,756,600,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,941,756,600,993 is 2131022287800.
Find LCM of 724,941,756,600,993 with Prime Factorization
| 2 | 724, 941, 756, 600, 993 |
| 2 | 362, 941, 378, 300, 993 |
| 3 | 181, 941, 189, 150, 993 |
| 181, 941, 63, 50, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 941 x 63 x 50 x 331 = 2131022287800
Therefore, the lowest common multiple of 724,941,756,600,993 is 2131022287800.
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.
724 x 941 x 756 x 600 x 993 = 306867209443200
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.
724 : 1, 2, 4, 181, 362, 724
941 : 1, 941
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,941,756,600,993, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
941:941
756:2x 2x 3x 3x 3x 7
600:2x 2x 2x 3x 5x 5
993:3x 331
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 306867209443200/(1x144)
LCM = 306867209443200/144
LCM = 2131022287800
Thus, we can understand that the LCM of 724,941,756,600,993 is 2131022287800.
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FAQs on LCM of 724, 941, 756, 600, 993
1. What is the LCM of 724, 941, 756, 600, 993?
Answer: LCM of 724, 941, 756, 600, 993 is 2131022287800.
2. How to calculate the LCM of 724, 941, 756, 600, 993?
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 724, 941, 756, 600, 993.
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}.