LCM of 981, 868, 224, 748, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 868, 224, 748, 438 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, 868, 224, 748, 438. So, keep reading to learn more.
Given numbers are 981,868,224,748,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,868,224,748,438 is 92991485664.
Find LCM of 981,868,224,748,438 with Prime Factorization
| 2 | 981, 868, 224, 748, 438 |
| 2 | 981, 434, 112, 374, 219 |
| 3 | 981, 217, 56, 187, 219 |
| 7 | 327, 217, 56, 187, 73 |
| 327, 31, 8, 187, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 327 x 31 x 8 x 187 x 73 = 92991485664
Therefore, the lowest common multiple of 981,868,224,748,438 is 92991485664.
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 868 x 224 x 748 x 438 = 62490278366208
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
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,868,224,748,438, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
868:2x 2x 7x 31
224:2x 2x 2x 2x 2x 7
748:2x 2x 11x 17
438:2x 3x 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 2x 2x 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 62490278366208/(1x672)
LCM = 62490278366208/672
LCM = 92991485664
Thus, we can understand that the LCM of 981,868,224,748,438 is 92991485664.
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FAQs on LCM of 981, 868, 224, 748, 438
1. What is the LCM of 981, 868, 224, 748, 438?
Answer: LCM of 981, 868, 224, 748, 438 is 92991485664.
2. How to calculate the LCM of 981, 868, 224, 748, 438?
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, 868, 224, 748, 438.
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}.