LCM of 347, 664, 600, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 664, 600, 542 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 347, 664, 600, 542. So, keep reading to learn more.
Given numbers are 347,664,600,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,664,600,542 is 4683042600.
Find LCM of 347,664,600,542 with Prime Factorization
| 2 | 347, 664, 600, 542 |
| 2 | 347, 332, 300, 271 |
| 2 | 347, 166, 150, 271 |
| 347, 83, 75, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 347 x 83 x 75 x 271 = 4683042600
Therefore, the lowest common multiple of 347,664,600,542 is 4683042600.
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.
347 x 664 x 600 x 542 = 74928681600
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.
347 : 1, 347
664 : 1, 2, 4, 8, 83, 166, 332, 664
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
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,664,600,542, is 1.
Now, the common factors can be found like this.
347:347
664:2x 2x 2x 83
600:2x 2x 2x 3x 5x 5
542:2x 271
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 2 = 16
Therefore, the value for common factors is 16.
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 = 74928681600/(1x16)
LCM = 74928681600/16
LCM = 4683042600
Thus, we can understand that the LCM of 347,664,600,542 is 4683042600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 347, 664, 600, 542
1. What is the LCM of 347, 664, 600, 542?
Answer: LCM of 347, 664, 600, 542 is 4683042600.
2. How to calculate the LCM of 347, 664, 600, 542?
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 347, 664, 600, 542.
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}.