LCM of 967, 959, 657, 822, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 959, 657, 822, 554 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, 959, 657, 822, 554. So, keep reading to learn more.
Given numbers are 967,959,657,822,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,959,657,822,554 is 337536090234.
Find LCM of 967,959,657,822,554 with Prime Factorization
| 2 | 967, 959, 657, 822, 554 |
| 3 | 967, 959, 657, 411, 277 |
| 137 | 967, 959, 219, 137, 277 |
| 967, 7, 219, 1, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 967 x 7 x 219 x 1 x 277 = 337536090234
Therefore, the lowest common multiple of 967,959,657,822,554 is 337536090234.
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 959 x 657 x 822 x 554 = 277454666172348
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
959 : 1, 7, 137, 959
657 : 1, 3, 9, 73, 219, 657
822 : 1, 2, 3, 6, 137, 274, 411, 822
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,959,657,822,554, is 1.
Now, the common factors can be found like this.
967:967
959:7x 137
657:3x 3x 73
822:2x 3x 137
554:2x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 137 = 822
Therefore, the value for common factors is 822.
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 = 277454666172348/(1x822)
LCM = 277454666172348/822
LCM = 337536090234
Thus, we can understand that the LCM of 967,959,657,822,554 is 337536090234.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 959, 657, 822, 554
1. What is the LCM of 967, 959, 657, 822, 554?
Answer: LCM of 967, 959, 657, 822, 554 is 337536090234.
2. How to calculate the LCM of 967, 959, 657, 822, 554?
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, 959, 657, 822, 554.
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}.