Find the LCM of 662, 315, 765, 157, 175 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 662, 315, 765, 157, 175. So, keep reading to learn more.
Given numbers are 662,315,765,157,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,315,765,157,175 is 2782832850.
Find LCM of 662,315,765,157,175 with Prime Factorization
3 | 662, 315, 765, 157, 175 |
3 | 662, 105, 255, 157, 175 |
5 | 662, 35, 85, 157, 175 |
7 | 662, 7, 17, 157, 35 |
662, 1, 17, 157, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 662 x 1 x 17 x 157 x 5 = 2782832850
Therefore, the lowest common multiple of 662,315,765,157,175 is 2782832850.
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.
662 x 315 x 765 x 157 x 175 = 4382961738750
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.
662 : 1, 2, 331, 662
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
157 : 1, 157
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,315,765,157,175, is 1.
Now, the common factors can be found like this.
662:2x 331
315:3x 3x 5x 7
765:3x 3x 5x 17
157:157
175:5x 5x 7
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 5x 5x 7 = 1575
Therefore, the value for common factors is 1575.
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 = 4382961738750/(1x1575)
LCM = 4382961738750/1575
LCM = 2782832850
Thus, we can understand that the LCM of 662,315,765,157,175 is 2782832850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 662, 315, 765, 157, 175?
Answer: LCM of 662, 315, 765, 157, 175 is 2782832850.
2. How to calculate the LCM of 662, 315, 765, 157, 175?
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 662, 315, 765, 157, 175.
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}.