LCM of 709, 902, 747, 151, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 902, 747, 151, 369 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 709, 902, 747, 151, 369. So, keep reading to learn more.
Given numbers are 709,902,747,151,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,902,747,151,369 is 72135711846.
Find LCM of 709,902,747,151,369 with Prime Factorization
| 3 | 709, 902, 747, 151, 369 |
| 3 | 709, 902, 249, 151, 123 |
| 41 | 709, 902, 83, 151, 41 |
| 709, 22, 83, 151, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 41 x 709 x 22 x 83 x 151 x 1 = 72135711846
Therefore, the lowest common multiple of 709,902,747,151,369 is 72135711846.
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.
709 x 902 x 747 x 151 x 369 = 26618077671174
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.
709 : 1, 709
902 : 1, 2, 11, 22, 41, 82, 451, 902
747 : 1, 3, 9, 83, 249, 747
151 : 1, 151
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,902,747,151,369, is 1.
Now, the common factors can be found like this.
709:709
902:2x 11x 41
747:3x 3x 83
151:151
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 41 = 369
Therefore, the value for common factors is 369.
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 = 26618077671174/(1x369)
LCM = 26618077671174/369
LCM = 72135711846
Thus, we can understand that the LCM of 709,902,747,151,369 is 72135711846.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 709, 902, 747, 151, 369
1. What is the LCM of 709, 902, 747, 151, 369?
Answer: LCM of 709, 902, 747, 151, 369 is 72135711846.
2. How to calculate the LCM of 709, 902, 747, 151, 369?
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 709, 902, 747, 151, 369.
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}.