LCM of 742, 784, 302, 862, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 784, 302, 862, 398 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 742, 784, 302, 862, 398. So, keep reading to learn more.
Given numbers are 742,784,302,862,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,784,302,862,398 is 538144896688.
Find LCM of 742,784,302,862,398 with Prime Factorization
| 2 | 742, 784, 302, 862, 398 |
| 7 | 371, 392, 151, 431, 199 |
| 53, 56, 151, 431, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 56 x 151 x 431 x 199 = 538144896688
Therefore, the lowest common multiple of 742,784,302,862,398 is 538144896688.
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.
742 x 784 x 302 x 862 x 398 = 60272228429056
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
302 : 1, 2, 151, 302
862 : 1, 2, 431, 862
398 : 1, 2, 199, 398
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,784,302,862,398, is 2.
Now, the common factors can be found like this.
742:2x 7x 53
784:2x 2x 2x 2x 7x 7
302:2x 151
862:2x 431
398:2x 199
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 7 = 56
Therefore, the value for common factors is 56.
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 = 60272228429056/(2x56)
LCM = 60272228429056/112
LCM = 538144896688
Thus, we can understand that the LCM of 742,784,302,862,398 is 538144896688.
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FAQs on LCM of 742, 784, 302, 862, 398
1. What is the LCM of 742, 784, 302, 862, 398?
Answer: LCM of 742, 784, 302, 862, 398 is 538144896688.
2. How to calculate the LCM of 742, 784, 302, 862, 398?
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 742, 784, 302, 862, 398.
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}.