Find the LCM of 712, 630, 177, 807, 885 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 712, 630, 177, 807, 885. So, keep reading to learn more.
Given numbers are 712,630,177,807,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,630,177,807,885 is 3559547880.
Find LCM of 712,630,177,807,885 with Prime Factorization
2 | 712, 630, 177, 807, 885 |
3 | 356, 315, 177, 807, 885 |
5 | 356, 105, 59, 269, 295 |
59 | 356, 21, 59, 269, 59 |
356, 21, 1, 269, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 59 x 356 x 21 x 1 x 269 x 1 = 3559547880
Therefore, the lowest common multiple of 712,630,177,807,885 is 3559547880.
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.
712 x 630 x 177 x 807 x 885 = 56703597728400
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
177 : 1, 3, 59, 177
807 : 1, 3, 269, 807
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,630,177,807,885, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
630:2x 3x 3x 5x 7
177:3x 59
807:3x 269
885:3x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 59 = 15930
Therefore, the value for common factors is 15930.
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 = 56703597728400/(1x15930)
LCM = 56703597728400/15930
LCM = 3559547880
Thus, we can understand that the LCM of 712,630,177,807,885 is 3559547880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 712, 630, 177, 807, 885?
Answer: LCM of 712, 630, 177, 807, 885 is 3559547880.
2. How to calculate the LCM of 712, 630, 177, 807, 885?
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 712, 630, 177, 807, 885.
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}.