Find the LCM of 824, 942, 981, 421, 936 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 824, 942, 981, 421, 936. So, keep reading to learn more.
Given numbers are 824,942,981,421,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,942,981,421,936 is 694578473784.
Find LCM of 824,942,981,421,936 with Prime Factorization
2 | 824, 942, 981, 421, 936 |
2 | 412, 471, 981, 421, 468 |
2 | 206, 471, 981, 421, 234 |
3 | 103, 471, 981, 421, 117 |
3 | 103, 157, 327, 421, 39 |
103, 157, 109, 421, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 103 x 157 x 109 x 421 x 13 = 694578473784
Therefore, the lowest common multiple of 824,942,981,421,936 is 694578473784.
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.
824 x 942 x 981 x 421 x 936 = 300057900674688
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
942 : 1, 2, 3, 6, 157, 314, 471, 942
981 : 1, 3, 9, 109, 327, 981
421 : 1, 421
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,942,981,421,936, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
942:2x 3x 157
981:3x 3x 109
421:421
936:2x 2x 2x 3x 3x 13
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 300057900674688/(1x432)
LCM = 300057900674688/432
LCM = 694578473784
Thus, we can understand that the LCM of 824,942,981,421,936 is 694578473784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 942, 981, 421, 936?
Answer: LCM of 824, 942, 981, 421, 936 is 694578473784.
2. How to calculate the LCM of 824, 942, 981, 421, 936?
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 824, 942, 981, 421, 936.
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}.