LCM of 748, 913, 988, 542, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 913, 988, 542, 364 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 748, 913, 988, 542, 364. So, keep reading to learn more.
Given numbers are 748,913,988,542,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,913,988,542,364 is 29090016956.
Find LCM of 748,913,988,542,364 with Prime Factorization
| 2 | 748, 913, 988, 542, 364 |
| 2 | 374, 913, 494, 271, 182 |
| 11 | 187, 913, 247, 271, 91 |
| 13 | 17, 83, 247, 271, 91 |
| 17, 83, 19, 271, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 17 x 83 x 19 x 271 x 7 = 29090016956
Therefore, the lowest common multiple of 748,913,988,542,364 is 29090016956.
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.
748 x 913 x 988 x 542 x 364 = 133115917590656
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
913 : 1, 11, 83, 913
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
542 : 1, 2, 271, 542
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,913,988,542,364, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
913:11x 83
988:2x 2x 13x 19
542:2x 271
364:2x 2x 7x 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 2x 2x 11x 13 = 4576
Therefore, the value for common factors is 4576.
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 = 133115917590656/(1x4576)
LCM = 133115917590656/4576
LCM = 29090016956
Thus, we can understand that the LCM of 748,913,988,542,364 is 29090016956.
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FAQs on LCM of 748, 913, 988, 542, 364
1. What is the LCM of 748, 913, 988, 542, 364?
Answer: LCM of 748, 913, 988, 542, 364 is 29090016956.
2. How to calculate the LCM of 748, 913, 988, 542, 364?
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 748, 913, 988, 542, 364.
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}.