Find the LCM of 147, 446, 201, 624, 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 147, 446, 201, 624, 936. So, keep reading to learn more.
Given numbers are 147,446,201,624,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,446,201,624,936 is 1370508048.
Find LCM of 147,446,201,624,936 with Prime Factorization
2 | 147, 446, 201, 624, 936 |
2 | 147, 223, 201, 312, 468 |
2 | 147, 223, 201, 156, 234 |
3 | 147, 223, 201, 78, 117 |
13 | 49, 223, 67, 26, 39 |
49, 223, 67, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 49 x 223 x 67 x 2 x 3 = 1370508048
Therefore, the lowest common multiple of 147,446,201,624,936 is 1370508048.
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.
147 x 446 x 201 x 624 x 936 = 7696773197568
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.
147 : 1, 3, 7, 21, 49, 147
446 : 1, 2, 223, 446
201 : 1, 3, 67, 201
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
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 147,446,201,624,936, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
446:2x 223
201:3x 67
624:2x 2x 2x 2x 3x 13
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 3x 13 = 5616
Therefore, the value for common factors is 5616.
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 = 7696773197568/(1x5616)
LCM = 7696773197568/5616
LCM = 1370508048
Thus, we can understand that the LCM of 147,446,201,624,936 is 1370508048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 147, 446, 201, 624, 936?
Answer: LCM of 147, 446, 201, 624, 936 is 1370508048.
2. How to calculate the LCM of 147, 446, 201, 624, 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 147, 446, 201, 624, 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}.