LCM of 981, 902, 142, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 902, 142, 618 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 981, 902, 142, 618. So, keep reading to learn more.
Given numbers are 981,902,142,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,902,142,618 is 6470995806.
Find LCM of 981,902,142,618 with Prime Factorization
| 2 | 981, 902, 142, 618 |
| 3 | 981, 451, 71, 309 |
| 327, 451, 71, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 327 x 451 x 71 x 103 = 6470995806
Therefore, the lowest common multiple of 981,902,142,618 is 6470995806.
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.
981 x 902 x 142 x 618 = 77651949672
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.
981 : 1, 3, 9, 109, 327, 981
902 : 1, 2, 11, 22, 41, 82, 451, 902
142 : 1, 2, 71, 142
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,902,142,618, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
902:2x 11x 41
142:2x 71
618:2x 3x 103
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 3 = 12
Therefore, the value for common factors is 12.
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 = 77651949672/(1x12)
LCM = 77651949672/12
LCM = 6470995806
Thus, we can understand that the LCM of 981,902,142,618 is 6470995806.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 981, 902, 142, 618
1. What is the LCM of 981, 902, 142, 618?
Answer: LCM of 981, 902, 142, 618 is 6470995806.
2. How to calculate the LCM of 981, 902, 142, 618?
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 981, 902, 142, 618.
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}.