LCM of 547, 354, 189, 664, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 354, 189, 664, 336 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 547, 354, 189, 664, 336. So, keep reading to learn more.
Given numbers are 547,354,189,664,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,354,189,664,336 is 8100264816.
Find LCM of 547,354,189,664,336 with Prime Factorization
| 2 | 547, 354, 189, 664, 336 |
| 2 | 547, 177, 189, 332, 168 |
| 2 | 547, 177, 189, 166, 84 |
| 3 | 547, 177, 189, 83, 42 |
| 7 | 547, 59, 63, 83, 14 |
| 547, 59, 9, 83, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 547 x 59 x 9 x 83 x 2 = 8100264816
Therefore, the lowest common multiple of 547,354,189,664,336 is 8100264816.
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.
547 x 354 x 189 x 664 x 336 = 8165066934528
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.
547 : 1, 547
354 : 1, 2, 3, 6, 59, 118, 177, 354
189 : 1, 3, 7, 9, 21, 27, 63, 189
664 : 1, 2, 4, 8, 83, 166, 332, 664
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,354,189,664,336, is 1.
Now, the common factors can be found like this.
547:547
354:2x 3x 59
189:3x 3x 3x 7
664:2x 2x 2x 83
336:2x 2x 2x 2x 3x 7
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 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 8165066934528/(1x1008)
LCM = 8165066934528/1008
LCM = 8100264816
Thus, we can understand that the LCM of 547,354,189,664,336 is 8100264816.
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FAQs on LCM of 547, 354, 189, 664, 336
1. What is the LCM of 547, 354, 189, 664, 336?
Answer: LCM of 547, 354, 189, 664, 336 is 8100264816.
2. How to calculate the LCM of 547, 354, 189, 664, 336?
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 547, 354, 189, 664, 336.
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}.