Find the LCM of 758, 762, 745, 865, 302 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 758, 762, 745, 865, 302. So, keep reading to learn more.
Given numbers are 758,762,745,865,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,762,745,865,302 is 5620481264730.
Find LCM of 758,762,745,865,302 with Prime Factorization
2 | 758, 762, 745, 865, 302 |
5 | 379, 381, 745, 865, 151 |
379, 381, 149, 173, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 379 x 381 x 149 x 173 x 151 = 5620481264730
Therefore, the lowest common multiple of 758,762,745,865,302 is 5620481264730.
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.
758 x 762 x 745 x 865 x 302 = 112409625294600
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.
758 : 1, 2, 379, 758
762 : 1, 2, 3, 6, 127, 254, 381, 762
745 : 1, 5, 149, 745
865 : 1, 5, 173, 865
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,762,745,865,302, is 1.
Now, the common factors can be found like this.
758:2x 379
762:2x 3x 127
745:5x 149
865:5x 173
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 112409625294600/(1x20)
LCM = 112409625294600/20
LCM = 5620481264730
Thus, we can understand that the LCM of 758,762,745,865,302 is 5620481264730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 758, 762, 745, 865, 302?
Answer: LCM of 758, 762, 745, 865, 302 is 5620481264730.
2. How to calculate the LCM of 758, 762, 745, 865, 302?
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 758, 762, 745, 865, 302.
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}.