LCM of 544, 503, 969, 334, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 503, 969, 334, 167 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 544, 503, 969, 334, 167. So, keep reading to learn more.
Given numbers are 544,503,969,334,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,503,969,334,167 is 2604703008.
Find LCM of 544,503,969,334,167 with Prime Factorization
| 2 | 544, 503, 969, 334, 167 |
| 17 | 272, 503, 969, 167, 167 |
| 167 | 16, 503, 57, 167, 167 |
| 16, 503, 57, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 167 x 16 x 503 x 57 x 1 x 1 = 2604703008
Therefore, the lowest common multiple of 544,503,969,334,167 is 2604703008.
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.
544 x 503 x 969 x 334 x 167 = 14789503679424
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
503 : 1, 503
969 : 1, 3, 17, 19, 51, 57, 323, 969
334 : 1, 2, 167, 334
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,503,969,334,167, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
503:503
969:3x 17x 19
334:2x 167
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 167 = 5678
Therefore, the value for common factors is 5678.
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 = 14789503679424/(1x5678)
LCM = 14789503679424/5678
LCM = 2604703008
Thus, we can understand that the LCM of 544,503,969,334,167 is 2604703008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 544, 503, 969, 334, 167
1. What is the LCM of 544, 503, 969, 334, 167?
Answer: LCM of 544, 503, 969, 334, 167 is 2604703008.
2. How to calculate the LCM of 544, 503, 969, 334, 167?
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 544, 503, 969, 334, 167.
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}.