LCM of 546, 723, 466, 652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 723, 466, 652 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 546, 723, 466, 652. So, keep reading to learn more.
Given numbers are 546,723,466,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,723,466,652 is 9995009388.
Find LCM of 546,723,466,652 with Prime Factorization
| 2 | 546, 723, 466, 652 |
| 3 | 273, 723, 233, 326 |
| 91, 241, 233, 326 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 91 x 241 x 233 x 326 = 9995009388
Therefore, the lowest common multiple of 546,723,466,652 is 9995009388.
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.
546 x 723 x 466 x 652 = 119940112656
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
723 : 1, 3, 241, 723
466 : 1, 2, 233, 466
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,723,466,652, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
723:3x 241
466:2x 233
652:2x 2x 163
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 3 = 12
Therefore, the value for common factors is 12.
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 = 119940112656/(1x12)
LCM = 119940112656/12
LCM = 9995009388
Thus, we can understand that the LCM of 546,723,466,652 is 9995009388.
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FAQs on LCM of 546, 723, 466, 652
1. What is the LCM of 546, 723, 466, 652?
Answer: LCM of 546, 723, 466, 652 is 9995009388.
2. How to calculate the LCM of 546, 723, 466, 652?
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 546, 723, 466, 652.
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}.