LCM of 540, 318, 634, 620, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 318, 634, 620, 159 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 540, 318, 634, 620, 159. So, keep reading to learn more.
Given numbers are 540,318,634,620,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,318,634,620,159 is 281248740.
Find LCM of 540,318,634,620,159 with Prime Factorization
| 2 | 540, 318, 634, 620, 159 |
| 2 | 270, 159, 317, 310, 159 |
| 3 | 135, 159, 317, 155, 159 |
| 5 | 45, 53, 317, 155, 53 |
| 53 | 9, 53, 317, 31, 53 |
| 9, 1, 317, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 53 x 9 x 1 x 317 x 31 x 1 = 281248740
Therefore, the lowest common multiple of 540,318,634,620,159 is 281248740.
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.
540 x 318 x 634 x 620 x 159 = 10732451918400
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.
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
318 : 1, 2, 3, 6, 53, 106, 159, 318
634 : 1, 2, 317, 634
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,318,634,620,159, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
318:2x 3x 53
634:2x 317
620:2x 2x 5x 31
159:3x 53
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 5x 53 = 38160
Therefore, the value for common factors is 38160.
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 = 10732451918400/(1x38160)
LCM = 10732451918400/38160
LCM = 281248740
Thus, we can understand that the LCM of 540,318,634,620,159 is 281248740.
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FAQs on LCM of 540, 318, 634, 620, 159
1. What is the LCM of 540, 318, 634, 620, 159?
Answer: LCM of 540, 318, 634, 620, 159 is 281248740.
2. How to calculate the LCM of 540, 318, 634, 620, 159?
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 540, 318, 634, 620, 159.
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}.