LCM of 302, 902, 969, 962, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 902, 969, 962, 312 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 302, 902, 969, 962, 312. So, keep reading to learn more.
Given numbers are 302,902,969,962,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,902,969,962,312 is 253929015912.
Find LCM of 302,902,969,962,312 with Prime Factorization
| 2 | 302, 902, 969, 962, 312 |
| 3 | 151, 451, 969, 481, 156 |
| 13 | 151, 451, 323, 481, 52 |
| 151, 451, 323, 37, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 151 x 451 x 323 x 37 x 4 = 253929015912
Therefore, the lowest common multiple of 302,902,969,962,312 is 253929015912.
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.
302 x 902 x 969 x 962 x 312 = 79225852964544
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.
302 : 1, 2, 151, 302
902 : 1, 2, 11, 22, 41, 82, 451, 902
969 : 1, 3, 17, 19, 51, 57, 323, 969
962 : 1, 2, 13, 26, 37, 74, 481, 962
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,902,969,962,312, is 1.
Now, the common factors can be found like this.
302:2x 151
902:2x 11x 41
969:3x 17x 19
962:2x 13x 37
312:2x 2x 2x 3x 13
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 = 79225852964544/(1x312)
LCM = 79225852964544/312
LCM = 253929015912
Thus, we can understand that the LCM of 302,902,969,962,312 is 253929015912.
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FAQs on LCM of 302, 902, 969, 962, 312
1. What is the LCM of 302, 902, 969, 962, 312?
Answer: LCM of 302, 902, 969, 962, 312 is 253929015912.
2. How to calculate the LCM of 302, 902, 969, 962, 312?
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 302, 902, 969, 962, 312.
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}.