LCM of 294, 157, 206, 412, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 157, 206, 412, 932 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 294, 157, 206, 412, 932. So, keep reading to learn more.
Given numbers are 294,157,206,412,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,157,206,412,932 is 2215491684.
Find LCM of 294,157,206,412,932 with Prime Factorization
| 2 | 294, 157, 206, 412, 932 |
| 2 | 147, 157, 103, 206, 466 |
| 103 | 147, 157, 103, 103, 233 |
| 147, 157, 1, 1, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 147 x 157 x 1 x 1 x 233 = 2215491684
Therefore, the lowest common multiple of 294,157,206,412,932 is 2215491684.
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.
294 x 157 x 206 x 412 x 932 = 3651130295232
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
157 : 1, 157
206 : 1, 2, 103, 206
412 : 1, 2, 4, 103, 206, 412
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,157,206,412,932, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
157:157
206:2x 103
412:2x 2x 103
932:2x 2x 233
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 103 = 1648
Therefore, the value for common factors is 1648.
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 = 3651130295232/(1x1648)
LCM = 3651130295232/1648
LCM = 2215491684
Thus, we can understand that the LCM of 294,157,206,412,932 is 2215491684.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 294, 157, 206, 412, 932
1. What is the LCM of 294, 157, 206, 412, 932?
Answer: LCM of 294, 157, 206, 412, 932 is 2215491684.
2. How to calculate the LCM of 294, 157, 206, 412, 932?
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 294, 157, 206, 412, 932.
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}.