LCM of 540, 178, 240, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 178, 240, 859 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, 178, 240, 859. So, keep reading to learn more.
Given numbers are 540,178,240,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,178,240,859 is 165134160.
Find LCM of 540,178,240,859 with Prime Factorization
| 2 | 540, 178, 240, 859 |
| 2 | 270, 89, 120, 859 |
| 3 | 135, 89, 60, 859 |
| 5 | 45, 89, 20, 859 |
| 9, 89, 4, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 9 x 89 x 4 x 859 = 165134160
Therefore, the lowest common multiple of 540,178,240,859 is 165134160.
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 178 x 240 x 859 = 19816099200
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
178 : 1, 2, 89, 178
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,178,240,859, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
178:2x 89
240:2x 2x 2x 2x 3x 5
859:859
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 19816099200/(1x120)
LCM = 19816099200/120
LCM = 165134160
Thus, we can understand that the LCM of 540,178,240,859 is 165134160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 540, 178, 240, 859
1. What is the LCM of 540, 178, 240, 859?
Answer: LCM of 540, 178, 240, 859 is 165134160.
2. How to calculate the LCM of 540, 178, 240, 859?
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, 178, 240, 859.
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}.