LCM of 964, 942, 868, 232, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 942, 868, 232, 742 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 964, 942, 868, 232, 742. So, keep reading to learn more.
Given numbers are 964,942,868,232,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,942,868,232,742 is 302873682552.
Find LCM of 964,942,868,232,742 with Prime Factorization
| 2 | 964, 942, 868, 232, 742 |
| 2 | 482, 471, 434, 116, 371 |
| 7 | 241, 471, 217, 58, 371 |
| 241, 471, 31, 58, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 241 x 471 x 31 x 58 x 53 = 302873682552
Therefore, the lowest common multiple of 964,942,868,232,742 is 302873682552.
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.
964 x 942 x 868 x 232 x 742 = 135687409783296
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.
964 : 1, 2, 4, 241, 482, 964
942 : 1, 2, 3, 6, 157, 314, 471, 942
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
232 : 1, 2, 4, 8, 29, 58, 116, 232
742 : 1, 2, 7, 14, 53, 106, 371, 742
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,942,868,232,742, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
942:2x 3x 157
868:2x 2x 7x 31
232:2x 2x 2x 29
742:2x 7x 53
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 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 135687409783296/(2x224)
LCM = 135687409783296/448
LCM = 302873682552
Thus, we can understand that the LCM of 964,942,868,232,742 is 302873682552.
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FAQs on LCM of 964, 942, 868, 232, 742
1. What is the LCM of 964, 942, 868, 232, 742?
Answer: LCM of 964, 942, 868, 232, 742 is 302873682552.
2. How to calculate the LCM of 964, 942, 868, 232, 742?
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 964, 942, 868, 232, 742.
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}.