LCM of 359, 988, 748, 173, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 988, 748, 173, 741 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 359, 988, 748, 173, 741. So, keep reading to learn more.
Given numbers are 359,988,748,173,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,988,748,173,741 is 34423922676.
Find LCM of 359,988,748,173,741 with Prime Factorization
| 2 | 359, 988, 748, 173, 741 |
| 2 | 359, 494, 374, 173, 741 |
| 13 | 359, 247, 187, 173, 741 |
| 19 | 359, 19, 187, 173, 57 |
| 359, 1, 187, 173, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 359 x 1 x 187 x 173 x 3 = 34423922676
Therefore, the lowest common multiple of 359,988,748,173,741 is 34423922676.
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.
359 x 988 x 748 x 173 x 741 = 34010835603888
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.
359 : 1, 359
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
173 : 1, 173
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,988,748,173,741, is 1.
Now, the common factors can be found like this.
359:359
988:2x 2x 13x 19
748:2x 2x 11x 17
173:173
741:3x 13x 19
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 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 34010835603888/(1x988)
LCM = 34010835603888/988
LCM = 34423922676
Thus, we can understand that the LCM of 359,988,748,173,741 is 34423922676.
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FAQs on LCM of 359, 988, 748, 173, 741
1. What is the LCM of 359, 988, 748, 173, 741?
Answer: LCM of 359, 988, 748, 173, 741 is 34423922676.
2. How to calculate the LCM of 359, 988, 748, 173, 741?
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 359, 988, 748, 173, 741.
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}.