LCM of 967, 314, 299, 561, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 314, 299, 561, 368 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, 314, 299, 561, 368. So, keep reading to learn more.
Given numbers are 967,314,299,561,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,314,299,561,368 is 407455475856.
Find LCM of 967,314,299,561,368 with Prime Factorization
| 2 | 967, 314, 299, 561, 368 |
| 23 | 967, 157, 299, 561, 184 |
| 967, 157, 13, 561, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 967 x 157 x 13 x 561 x 8 = 407455475856
Therefore, the lowest common multiple of 967,314,299,561,368 is 407455475856.
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 314 x 299 x 561 x 368 = 18742951889376
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
314 : 1, 2, 157, 314
299 : 1, 13, 23, 299
561 : 1, 3, 11, 17, 33, 51, 187, 561
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,314,299,561,368, is 1.
Now, the common factors can be found like this.
967:967
314:2x 157
299:13x 23
561:3x 11x 17
368:2x 2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 18742951889376/(1x46)
LCM = 18742951889376/46
LCM = 407455475856
Thus, we can understand that the LCM of 967,314,299,561,368 is 407455475856.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 314, 299, 561, 368
1. What is the LCM of 967, 314, 299, 561, 368?
Answer: LCM of 967, 314, 299, 561, 368 is 407455475856.
2. How to calculate the LCM of 967, 314, 299, 561, 368?
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, 314, 299, 561, 368.
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}.