Find the LCM of 722, 973, 902, 501, 169 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 722, 973, 902, 501, 169. So, keep reading to learn more.
Given numbers are 722,973,902,501,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,973,902,501,169 is 26825696711814.
Find LCM of 722,973,902,501,169 with Prime Factorization
2 | 722, 973, 902, 501, 169 |
361, 973, 451, 501, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 361 x 973 x 451 x 501 x 169 = 26825696711814
Therefore, the lowest common multiple of 722,973,902,501,169 is 26825696711814.
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.
722 x 973 x 902 x 501 x 169 = 53651393423628
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.
722 : 1, 2, 19, 38, 361, 722
973 : 1, 7, 139, 973
902 : 1, 2, 11, 22, 41, 82, 451, 902
501 : 1, 3, 167, 501
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,973,902,501,169, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
973:7x 139
902:2x 11x 41
501:3x 167
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 53651393423628/(1x2)
LCM = 53651393423628/2
LCM = 26825696711814
Thus, we can understand that the LCM of 722,973,902,501,169 is 26825696711814.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 973, 902, 501, 169?
Answer: LCM of 722, 973, 902, 501, 169 is 26825696711814.
2. How to calculate the LCM of 722, 973, 902, 501, 169?
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 722, 973, 902, 501, 169.
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}.