Find the LCM of 156, 738, 492, 246, 701 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 156, 738, 492, 246, 701. So, keep reading to learn more.
Given numbers are 156,738,492,246,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,738,492,246,701 is 13450788.
Find LCM of 156,738,492,246,701 with Prime Factorization
2 | 156, 738, 492, 246, 701 |
2 | 78, 369, 246, 123, 701 |
3 | 39, 369, 123, 123, 701 |
41 | 13, 41, 41, 123, 701 |
13, 1, 1, 3, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 13 x 1 x 1 x 3 x 701 = 13450788
Therefore, the lowest common multiple of 156,738,492,246,701 is 13450788.
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.
156 x 738 x 492 x 246 x 701 = 9767854639296
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
246 : 1, 2, 3, 6, 41, 82, 123, 246
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,738,492,246,701, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
738:2x 3x 3x 41
492:2x 2x 3x 41
246:2x 3x 41
701:701
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 41x 41 = 726192
Therefore, the value for common factors is 726192.
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 = 9767854639296/(1x726192)
LCM = 9767854639296/726192
LCM = 13450788
Thus, we can understand that the LCM of 156,738,492,246,701 is 13450788.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 738, 492, 246, 701?
Answer: LCM of 156, 738, 492, 246, 701 is 13450788.
2. How to calculate the LCM of 156, 738, 492, 246, 701?
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 156, 738, 492, 246, 701.
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}.