LCM of 763, 572, 546, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 572, 546, 415 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 763, 572, 546, 415. So, keep reading to learn more.
Given numbers are 763,572,546,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,572,546,415 is 543362820.
Find LCM of 763,572,546,415 with Prime Factorization
| 2 | 763, 572, 546, 415 |
| 7 | 763, 286, 273, 415 |
| 13 | 109, 286, 39, 415 |
| 109, 22, 3, 415 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 109 x 22 x 3 x 415 = 543362820
Therefore, the lowest common multiple of 763,572,546,415 is 543362820.
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.
763 x 572 x 546 x 415 = 98892033240
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.
763 : 1, 7, 109, 763
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,572,546,415, is 1.
Now, the common factors can be found like this.
763:7x 109
572:2x 2x 11x 13
546:2x 3x 7x 13
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13 = 182
Therefore, the value for common factors is 182.
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 = 98892033240/(1x182)
LCM = 98892033240/182
LCM = 543362820
Thus, we can understand that the LCM of 763,572,546,415 is 543362820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 763, 572, 546, 415
1. What is the LCM of 763, 572, 546, 415?
Answer: LCM of 763, 572, 546, 415 is 543362820.
2. How to calculate the LCM of 763, 572, 546, 415?
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 763, 572, 546, 415.
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}.