Find the LCM of 501, 349, 315, 167, 573 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 501, 349, 315, 167, 573. So, keep reading to learn more.
Given numbers are 501,349,315,167,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,349,315,167,573 is 3506596695.
Find LCM of 501,349,315,167,573 with Prime Factorization
3 | 501, 349, 315, 167, 573 |
167 | 167, 349, 105, 167, 191 |
1, 349, 105, 1, 191 |
Multiply the prime numbers at the bottom and the left side.
3 x 167 x 1 x 349 x 105 x 1 x 191 = 3506596695
Therefore, the lowest common multiple of 501,349,315,167,573 is 3506596695.
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.
501 x 349 x 315 x 167 x 573 = 5270414832585
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.
501 : 1, 3, 167, 501
349 : 1, 349
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
167 : 1, 167
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,349,315,167,573, is 1.
Now, the common factors can be found like this.
501:3x 167
349:349
315:3x 3x 5x 7
167:167
573:3x 191
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 167 = 1503
Therefore, the value for common factors is 1503.
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 = 5270414832585/(1x1503)
LCM = 5270414832585/1503
LCM = 3506596695
Thus, we can understand that the LCM of 501,349,315,167,573 is 3506596695.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 501, 349, 315, 167, 573?
Answer: LCM of 501, 349, 315, 167, 573 is 3506596695.
2. How to calculate the LCM of 501, 349, 315, 167, 573?
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 501, 349, 315, 167, 573.
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}.