LCM of 967, 120, 667, 824, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 120, 667, 824, 222 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, 120, 667, 824, 222. So, keep reading to learn more.
Given numbers are 967,120,667,824,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,120,667,824,222 is 294966369480.
Find LCM of 967,120,667,824,222 with Prime Factorization
| 2 | 967, 120, 667, 824, 222 |
| 2 | 967, 60, 667, 412, 111 |
| 2 | 967, 30, 667, 206, 111 |
| 3 | 967, 15, 667, 103, 111 |
| 967, 5, 667, 103, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 967 x 5 x 667 x 103 x 37 = 294966369480
Therefore, the lowest common multiple of 967,120,667,824,222 is 294966369480.
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 120 x 667 x 824 x 222 = 14158385735040
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
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
667 : 1, 23, 29, 667
824 : 1, 2, 4, 8, 103, 206, 412, 824
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,120,667,824,222, is 1.
Now, the common factors can be found like this.
967:967
120:2x 2x 2x 3x 5
667:23x 29
824:2x 2x 2x 103
222:2x 3x 37
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 14158385735040/(1x48)
LCM = 14158385735040/48
LCM = 294966369480
Thus, we can understand that the LCM of 967,120,667,824,222 is 294966369480.
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FAQs on LCM of 967, 120, 667, 824, 222
1. What is the LCM of 967, 120, 667, 824, 222?
Answer: LCM of 967, 120, 667, 824, 222 is 294966369480.
2. How to calculate the LCM of 967, 120, 667, 824, 222?
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, 120, 667, 824, 222.
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}.