LCM of 539, 378, 501, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 378, 501, 657 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 539, 378, 501, 657. So, keep reading to learn more.
Given numbers are 539,378,501,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,378,501,657 is 354831246.
Find LCM of 539,378,501,657 with Prime Factorization
| 3 | 539, 378, 501, 657 |
| 3 | 539, 126, 167, 219 |
| 7 | 539, 42, 167, 73 |
| 77, 6, 167, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 77 x 6 x 167 x 73 = 354831246
Therefore, the lowest common multiple of 539,378,501,657 is 354831246.
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.
539 x 378 x 501 x 657 = 67063105494
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.
539 : 1, 7, 11, 49, 77, 539
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
501 : 1, 3, 167, 501
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,378,501,657, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
378:2x 3x 3x 3x 7
501:3x 167
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 67063105494/(1x189)
LCM = 67063105494/189
LCM = 354831246
Thus, we can understand that the LCM of 539,378,501,657 is 354831246.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 539, 378, 501, 657
1. What is the LCM of 539, 378, 501, 657?
Answer: LCM of 539, 378, 501, 657 is 354831246.
2. How to calculate the LCM of 539, 378, 501, 657?
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 539, 378, 501, 657.
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}.