Find the LCM of 117, 456, 346, 756, 767 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 117, 456, 346, 756, 767. So, keep reading to learn more.
Given numbers are 117,456,346,756,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,456,346,756,767 is 3811947048.
Find LCM of 117,456,346,756,767 with Prime Factorization
2 | 117, 456, 346, 756, 767 |
2 | 117, 228, 173, 378, 767 |
3 | 117, 114, 173, 189, 767 |
3 | 39, 38, 173, 63, 767 |
13 | 13, 38, 173, 21, 767 |
1, 38, 173, 21, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 1 x 38 x 173 x 21 x 59 = 3811947048
Therefore, the lowest common multiple of 117,456,346,756,767 is 3811947048.
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.
117 x 456 x 346 x 756 x 767 = 10703947310784
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.
117 : 1, 3, 9, 13, 39, 117
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
346 : 1, 2, 173, 346
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,456,346,756,767, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
456:2x 2x 2x 3x 19
346:2x 173
756:2x 2x 3x 3x 3x 7
767:13x 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 2x 2x 3x 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 10703947310784/(1x2808)
LCM = 10703947310784/2808
LCM = 3811947048
Thus, we can understand that the LCM of 117,456,346,756,767 is 3811947048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 117, 456, 346, 756, 767?
Answer: LCM of 117, 456, 346, 756, 767 is 3811947048.
2. How to calculate the LCM of 117, 456, 346, 756, 767?
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 117, 456, 346, 756, 767.
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}.