LCM of 334, 135, 501, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 135, 501, 894 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 334, 135, 501, 894. So, keep reading to learn more.
Given numbers are 334,135,501,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,135,501,894 is 6718410.
Find LCM of 334,135,501,894 with Prime Factorization
| 2 | 334, 135, 501, 894 |
| 3 | 167, 135, 501, 447 |
| 167 | 167, 45, 167, 149 |
| 1, 45, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 167 x 1 x 45 x 1 x 149 = 6718410
Therefore, the lowest common multiple of 334,135,501,894 is 6718410.
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.
334 x 135 x 501 x 894 = 20195540460
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.
334 : 1, 2, 167, 334
135 : 1, 3, 5, 9, 15, 27, 45, 135
501 : 1, 3, 167, 501
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,135,501,894, is 1.
Now, the common factors can be found like this.
334:2x 167
135:3x 3x 3x 5
501:3x 167
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 167 = 3006
Therefore, the value for common factors is 3006.
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 = 20195540460/(1x3006)
LCM = 20195540460/3006
LCM = 6718410
Thus, we can understand that the LCM of 334,135,501,894 is 6718410.
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FAQs on LCM of 334, 135, 501, 894
1. What is the LCM of 334, 135, 501, 894?
Answer: LCM of 334, 135, 501, 894 is 6718410.
2. How to calculate the LCM of 334, 135, 501, 894?
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 334, 135, 501, 894.
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}.