LCM of 724, 728, 546, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 728, 546, 573 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, 728, 546, 573. So, keep reading to learn more.
Given numbers are 724,728,546,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,728,546,573 is 75503064.
Find LCM of 724,728,546,573 with Prime Factorization
| 2 | 724, 728, 546, 573 |
| 2 | 362, 364, 273, 573 |
| 3 | 181, 182, 273, 573 |
| 7 | 181, 182, 91, 191 |
| 13 | 181, 26, 13, 191 |
| 181, 2, 1, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 181 x 2 x 1 x 191 = 75503064
Therefore, the lowest common multiple of 724,728,546,573 is 75503064.
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 728 x 546 x 573 = 164898691776
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
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,728,546,573, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
728:2x 2x 2x 7x 13
546:2x 3x 7x 13
573:3x 191
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 7x 13 = 2184
Therefore, the value for common factors is 2184.
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 = 164898691776/(1x2184)
LCM = 164898691776/2184
LCM = 75503064
Thus, we can understand that the LCM of 724,728,546,573 is 75503064.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 724, 728, 546, 573
1. What is the LCM of 724, 728, 546, 573?
Answer: LCM of 724, 728, 546, 573 is 75503064.
2. How to calculate the LCM of 724, 728, 546, 573?
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, 728, 546, 573.
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}.