LCM of 902, 451, 709, 292
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 451, 709, 292 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 902, 451, 709, 292. So, keep reading to learn more.
Given numbers are 902,451,709,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,451,709,292 is 93369628.
Find LCM of 902,451,709,292 with Prime Factorization
| 2 | 902, 451, 709, 292 |
| 11 | 451, 451, 709, 146 |
| 41 | 41, 41, 709, 146 |
| 1, 1, 709, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 1 x 1 x 709 x 146 = 93369628
Therefore, the lowest common multiple of 902,451,709,292 is 93369628.
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.
902 x 451 x 709 x 292 = 84219404456
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
451 : 1, 11, 41, 451
709 : 1, 709
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,451,709,292, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
451:11x 41
709:709
292:2x 2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 41 = 902
Therefore, the value for common factors is 902.
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 = 84219404456/(1x902)
LCM = 84219404456/902
LCM = 93369628
Thus, we can understand that the LCM of 902,451,709,292 is 93369628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 451, 709, 292
1. What is the LCM of 902, 451, 709, 292?
Answer: LCM of 902, 451, 709, 292 is 93369628.
2. How to calculate the LCM of 902, 451, 709, 292?
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 902, 451, 709, 292.
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}.