LCM of 962, 971, 693, 294, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 971, 693, 294, 612 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 962, 971, 693, 294, 612. So, keep reading to learn more.
Given numbers are 962,971,693,294,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,971,693,294,612 is 154065179268.
Find LCM of 962,971,693,294,612 with Prime Factorization
| 2 | 962, 971, 693, 294, 612 |
| 3 | 481, 971, 693, 147, 306 |
| 3 | 481, 971, 231, 49, 102 |
| 7 | 481, 971, 77, 49, 34 |
| 481, 971, 11, 7, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 481 x 971 x 11 x 7 x 34 = 154065179268
Therefore, the lowest common multiple of 962,971,693,294,612 is 154065179268.
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.
962 x 971 x 693 x 294 x 612 = 116473275526608
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
971 : 1, 971
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,971,693,294,612, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
971:971
693:3x 3x 7x 11
294:2x 3x 7x 7
612:2x 2x 3x 3x 17
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 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 116473275526608/(1x756)
LCM = 116473275526608/756
LCM = 154065179268
Thus, we can understand that the LCM of 962,971,693,294,612 is 154065179268.
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FAQs on LCM of 962, 971, 693, 294, 612
1. What is the LCM of 962, 971, 693, 294, 612?
Answer: LCM of 962, 971, 693, 294, 612 is 154065179268.
2. How to calculate the LCM of 962, 971, 693, 294, 612?
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 962, 971, 693, 294, 612.
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}.