LCM of 737, 258, 865, 195, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 258, 865, 195, 559 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 737, 258, 865, 195, 559. So, keep reading to learn more.
Given numbers are 737,258,865,195,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,258,865,195,559 is 2138191770.
Find LCM of 737,258,865,195,559 with Prime Factorization
| 3 | 737, 258, 865, 195, 559 |
| 5 | 737, 86, 865, 65, 559 |
| 13 | 737, 86, 173, 13, 559 |
| 43 | 737, 86, 173, 1, 43 |
| 737, 2, 173, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 43 x 737 x 2 x 173 x 1 x 1 = 2138191770
Therefore, the lowest common multiple of 737,258,865,195,559 is 2138191770.
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.
737 x 258 x 865 x 195 x 559 = 17928737991450
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.
737 : 1, 11, 67, 737
258 : 1, 2, 3, 6, 43, 86, 129, 258
865 : 1, 5, 173, 865
195 : 1, 3, 5, 13, 15, 39, 65, 195
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,258,865,195,559, is 1.
Now, the common factors can be found like this.
737:11x 67
258:2x 3x 43
865:5x 173
195:3x 5x 13
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13x 43 = 8385
Therefore, the value for common factors is 8385.
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 = 17928737991450/(1x8385)
LCM = 17928737991450/8385
LCM = 2138191770
Thus, we can understand that the LCM of 737,258,865,195,559 is 2138191770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 258, 865, 195, 559
1. What is the LCM of 737, 258, 865, 195, 559?
Answer: LCM of 737, 258, 865, 195, 559 is 2138191770.
2. How to calculate the LCM of 737, 258, 865, 195, 559?
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 737, 258, 865, 195, 559.
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}.