LCM of 157, 794, 463, 209, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 794, 463, 209, 152 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 157, 794, 463, 209, 152. So, keep reading to learn more.
Given numbers are 157,794,463,209,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,794,463,209,152 is 48251122744.
Find LCM of 157,794,463,209,152 with Prime Factorization
| 2 | 157, 794, 463, 209, 152 |
| 19 | 157, 397, 463, 209, 76 |
| 157, 397, 463, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 157 x 397 x 463 x 11 x 4 = 48251122744
Therefore, the lowest common multiple of 157,794,463,209,152 is 48251122744.
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.
157 x 794 x 463 x 209 x 152 = 1833542664272
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.
157 : 1, 157
794 : 1, 2, 397, 794
463 : 1, 463
209 : 1, 11, 19, 209
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,794,463,209,152, is 1.
Now, the common factors can be found like this.
157:157
794:2x 397
463:463
209:11x 19
152:2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 1833542664272/(1x38)
LCM = 1833542664272/38
LCM = 48251122744
Thus, we can understand that the LCM of 157,794,463,209,152 is 48251122744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 157, 794, 463, 209, 152
1. What is the LCM of 157, 794, 463, 209, 152?
Answer: LCM of 157, 794, 463, 209, 152 is 48251122744.
2. How to calculate the LCM of 157, 794, 463, 209, 152?
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 157, 794, 463, 209, 152.
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}.