Find the LCM of 531, 327, 467, 708 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 531, 327, 467, 708. So, keep reading to learn more.
Given numbers are 531,327,467,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,327,467,708 is 108117972.
Find LCM of 531,327,467,708 with Prime Factorization
3 | 531, 327, 467, 708 |
59 | 177, 109, 467, 236 |
3, 109, 467, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 59 x 3 x 109 x 467 x 4 = 108117972
Therefore, the lowest common multiple of 531,327,467,708 is 108117972.
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.
531 x 327 x 467 x 708 = 57410643132
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.
531 : 1, 3, 9, 59, 177, 531
327 : 1, 3, 109, 327
467 : 1, 467
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,327,467,708, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
327:3x 109
467:467
708:2x 2x 3x 59
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 59 = 531
Therefore, the value for common factors is 531.
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 = 57410643132/(1x531)
LCM = 57410643132/531
LCM = 108117972
Thus, we can understand that the LCM of 531,327,467,708 is 108117972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 327, 467, 708?
Answer: LCM of 531, 327, 467, 708 is 108117972.
2. How to calculate the LCM of 531, 327, 467, 708?
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 531, 327, 467, 708.
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}.