LCM of 684, 117, 856, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 117, 856, 949 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 684, 117, 856, 949. So, keep reading to learn more.
Given numbers are 684,117,856,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,117,856,949 is 138910824.
Find LCM of 684,117,856,949 with Prime Factorization
| 2 | 684, 117, 856, 949 |
| 2 | 342, 117, 428, 949 |
| 3 | 171, 117, 214, 949 |
| 3 | 57, 39, 214, 949 |
| 13 | 19, 13, 214, 949 |
| 19, 1, 214, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 19 x 1 x 214 x 73 = 138910824
Therefore, the lowest common multiple of 684,117,856,949 is 138910824.
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.
684 x 117 x 856 x 949 = 65010265632
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
117 : 1, 3, 9, 13, 39, 117
856 : 1, 2, 4, 8, 107, 214, 428, 856
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,117,856,949, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
117:3x 3x 13
856:2x 2x 2x 107
949:13x 73
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 65010265632/(1x468)
LCM = 65010265632/468
LCM = 138910824
Thus, we can understand that the LCM of 684,117,856,949 is 138910824.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 117, 856, 949
1. What is the LCM of 684, 117, 856, 949?
Answer: LCM of 684, 117, 856, 949 is 138910824.
2. How to calculate the LCM of 684, 117, 856, 949?
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 684, 117, 856, 949.
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}.