LCM of 588, 740, 540, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 740, 540, 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 588, 740, 540, 167. So, keep reading to learn more.
Given numbers are 588,740,540,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,740,540,167 is 163496340.
Find LCM of 588,740,540,167 with Prime Factorization
| 2 | 588, 740, 540, 167 |
| 2 | 294, 370, 270, 167 |
| 3 | 147, 185, 135, 167 |
| 5 | 49, 185, 45, 167 |
| 49, 37, 9, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 49 x 37 x 9 x 167 = 163496340
Therefore, the lowest common multiple of 588,740,540,167 is 163496340.
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.
588 x 740 x 540 x 167 = 39239121600
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,740,540,167, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
740:2x 2x 5x 37
540:2x 2x 3x 3x 3x 5
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 2x 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 39239121600/(1x240)
LCM = 39239121600/240
LCM = 163496340
Thus, we can understand that the LCM of 588,740,540,167 is 163496340.
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FAQs on LCM of 588, 740, 540, 167
1. What is the LCM of 588, 740, 540, 167?
Answer: LCM of 588, 740, 540, 167 is 163496340.
2. How to calculate the LCM of 588, 740, 540, 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 588, 740, 540, 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}.