LCM of 967, 572, 949, 678, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 572, 949, 678, 336 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 967, 572, 949, 678, 336. So, keep reading to learn more.
Given numbers are 967,572,949,678,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,572,949,678,336 is 383268469584.
Find LCM of 967,572,949,678,336 with Prime Factorization
| 2 | 967, 572, 949, 678, 336 |
| 2 | 967, 286, 949, 339, 168 |
| 3 | 967, 143, 949, 339, 84 |
| 13 | 967, 143, 949, 113, 28 |
| 967, 11, 73, 113, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 967 x 11 x 73 x 113 x 28 = 383268469584
Therefore, the lowest common multiple of 967,572,949,678,336 is 383268469584.
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.
967 x 572 x 949 x 678 x 336 = 119579762510208
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.
967 : 1, 967
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
949 : 1, 13, 73, 949
678 : 1, 2, 3, 6, 113, 226, 339, 678
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,572,949,678,336, is 1.
Now, the common factors can be found like this.
967:967
572:2x 2x 11x 13
949:13x 73
678:2x 3x 113
336:2x 2x 2x 2x 3x 7
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 13 = 312
Therefore, the value for common factors is 312.
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 = 119579762510208/(1x312)
LCM = 119579762510208/312
LCM = 383268469584
Thus, we can understand that the LCM of 967,572,949,678,336 is 383268469584.
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FAQs on LCM of 967, 572, 949, 678, 336
1. What is the LCM of 967, 572, 949, 678, 336?
Answer: LCM of 967, 572, 949, 678, 336 is 383268469584.
2. How to calculate the LCM of 967, 572, 949, 678, 336?
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 967, 572, 949, 678, 336.
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}.