LCM of 902, 874, 894, 149, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 874, 894, 149, 190 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, 874, 894, 149, 190. So, keep reading to learn more.
Given numbers are 902,874,894,149,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,874,894,149,190 is 880978890.
Find LCM of 902,874,894,149,190 with Prime Factorization
| 2 | 902, 874, 894, 149, 190 |
| 19 | 451, 437, 447, 149, 95 |
| 149 | 451, 23, 447, 149, 5 |
| 451, 23, 3, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 149 x 451 x 23 x 3 x 1 x 5 = 880978890
Therefore, the lowest common multiple of 902,874,894,149,190 is 880978890.
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 874 x 894 x 149 x 190 = 19952409900720
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
874 : 1, 2, 19, 23, 38, 46, 437, 874
894 : 1, 2, 3, 6, 149, 298, 447, 894
149 : 1, 149
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,874,894,149,190, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
874:2x 19x 23
894:2x 3x 149
149:149
190:2x 5x 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 2x 19x 149 = 22648
Therefore, the value for common factors is 22648.
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 = 19952409900720/(1x22648)
LCM = 19952409900720/22648
LCM = 880978890
Thus, we can understand that the LCM of 902,874,894,149,190 is 880978890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 874, 894, 149, 190
1. What is the LCM of 902, 874, 894, 149, 190?
Answer: LCM of 902, 874, 894, 149, 190 is 880978890.
2. How to calculate the LCM of 902, 874, 894, 149, 190?
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, 874, 894, 149, 190.
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}.