LCM of 302, 713, 868, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 713, 868, 102 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, 713, 868, 102. So, keep reading to learn more.
Given numbers are 302,713,868,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,713,868,102 is 153742764.
Find LCM of 302,713,868,102 with Prime Factorization
| 2 | 302, 713, 868, 102 |
| 31 | 151, 713, 434, 51 |
| 151, 23, 14, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 151 x 23 x 14 x 51 = 153742764
Therefore, the lowest common multiple of 302,713,868,102 is 153742764.
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 713 x 868 x 102 = 19064102736
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
713 : 1, 23, 31, 713
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,713,868,102, is 1.
Now, the common factors can be found like this.
302:2x 151
713:23x 31
868:2x 2x 7x 31
102:2x 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 31 = 124
Therefore, the value for common factors is 124.
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 = 19064102736/(1x124)
LCM = 19064102736/124
LCM = 153742764
Thus, we can understand that the LCM of 302,713,868,102 is 153742764.
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FAQs on LCM of 302, 713, 868, 102
1. What is the LCM of 302, 713, 868, 102?
Answer: LCM of 302, 713, 868, 102 is 153742764.
2. How to calculate the LCM of 302, 713, 868, 102?
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, 713, 868, 102.
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}.