LCM of 902, 246, 638, 675, 157
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 246, 638, 675, 157 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, 246, 638, 675, 157. So, keep reading to learn more.
Given numbers are 902,246,638,675,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,246,638,675,157 is 2772094050.
Find LCM of 902,246,638,675,157 with Prime Factorization
| 2 | 902, 246, 638, 675, 157 |
| 3 | 451, 123, 319, 675, 157 |
| 11 | 451, 41, 319, 225, 157 |
| 41 | 41, 41, 29, 225, 157 |
| 1, 1, 29, 225, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 1 x 1 x 29 x 225 x 157 = 2772094050
Therefore, the lowest common multiple of 902,246,638,675,157 is 2772094050.
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 246 x 638 x 675 x 157 = 15002572998600
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
246 : 1, 2, 3, 6, 41, 82, 123, 246
638 : 1, 2, 11, 22, 29, 58, 319, 638
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,246,638,675,157, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
246:2x 3x 41
638:2x 11x 29
675:3x 3x 3x 5x 5
157:157
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 3x 11x 41 = 5412
Therefore, the value for common factors is 5412.
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 = 15002572998600/(1x5412)
LCM = 15002572998600/5412
LCM = 2772094050
Thus, we can understand that the LCM of 902,246,638,675,157 is 2772094050.
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FAQs on LCM of 902, 246, 638, 675, 157
1. What is the LCM of 902, 246, 638, 675, 157?
Answer: LCM of 902, 246, 638, 675, 157 is 2772094050.
2. How to calculate the LCM of 902, 246, 638, 675, 157?
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, 246, 638, 675, 157.
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}.