LCM of 363, 314, 157, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 314, 157, 902 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 363, 314, 157, 902. So, keep reading to learn more.
Given numbers are 363,314,157,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,314,157,902 is 4673262.
Find LCM of 363,314,157,902 with Prime Factorization
| 2 | 363, 314, 157, 902 |
| 11 | 363, 157, 157, 451 |
| 157 | 33, 157, 157, 41 |
| 33, 1, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 157 x 33 x 1 x 1 x 41 = 4673262
Therefore, the lowest common multiple of 363,314,157,902 is 4673262.
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.
363 x 314 x 157 x 902 = 16141446948
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.
363 : 1, 3, 11, 33, 121, 363
314 : 1, 2, 157, 314
157 : 1, 157
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,314,157,902, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
314:2x 157
157:157
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 157 = 3454
Therefore, the value for common factors is 3454.
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 = 16141446948/(1x3454)
LCM = 16141446948/3454
LCM = 4673262
Thus, we can understand that the LCM of 363,314,157,902 is 4673262.
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FAQs on LCM of 363, 314, 157, 902
1. What is the LCM of 363, 314, 157, 902?
Answer: LCM of 363, 314, 157, 902 is 4673262.
2. How to calculate the LCM of 363, 314, 157, 902?
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 363, 314, 157, 902.
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}.