LCM of 101, 949, 772, 876, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 949, 772, 876, 967 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 101, 949, 772, 876, 967. So, keep reading to learn more.
Given numbers are 101,949,772,876,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,949,772,876,967 is 214660736628.
Find LCM of 101,949,772,876,967 with Prime Factorization
| 2 | 101, 949, 772, 876, 967 |
| 2 | 101, 949, 386, 438, 967 |
| 73 | 101, 949, 193, 219, 967 |
| 101, 13, 193, 3, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 101 x 13 x 193 x 3 x 967 = 214660736628
Therefore, the lowest common multiple of 101,949,772,876,967 is 214660736628.
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.
101 x 949 x 772 x 876 x 967 = 62680935095376
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.
101 : 1, 101
949 : 1, 13, 73, 949
772 : 1, 2, 4, 193, 386, 772
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,949,772,876,967, is 1.
Now, the common factors can be found like this.
101:101
949:13x 73
772:2x 2x 193
876:2x 2x 3x 73
967:967
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 73 = 292
Therefore, the value for common factors is 292.
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 = 62680935095376/(1x292)
LCM = 62680935095376/292
LCM = 214660736628
Thus, we can understand that the LCM of 101,949,772,876,967 is 214660736628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 101, 949, 772, 876, 967
1. What is the LCM of 101, 949, 772, 876, 967?
Answer: LCM of 101, 949, 772, 876, 967 is 214660736628.
2. How to calculate the LCM of 101, 949, 772, 876, 967?
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 101, 949, 772, 876, 967.
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}.