LCM of 567, 319, 157, 203, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 319, 157, 203, 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 567, 319, 157, 203, 936. So, keep reading to learn more.
Given numbers are 567,319,157,203,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,319,157,203,936 is 2953294344.
Find LCM of 567,319,157,203,936 with Prime Factorization
| 3 | 567, 319, 157, 203, 936 |
| 3 | 189, 319, 157, 203, 312 |
| 7 | 63, 319, 157, 203, 104 |
| 29 | 9, 319, 157, 29, 104 |
| 9, 11, 157, 1, 104 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 29 x 9 x 11 x 157 x 1 x 104 = 2953294344
Therefore, the lowest common multiple of 567,319,157,203,936 is 2953294344.
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.
567 x 319 x 157 x 203 x 936 = 5395668766488
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
319 : 1, 11, 29, 319
157 : 1, 157
203 : 1, 7, 29, 203
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 567,319,157,203,936, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
319:11x 29
157:157
203:7x 29
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.
3x 3x 7x 29 = 1827
Therefore, the value for common factors is 1827.
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 = 5395668766488/(1x1827)
LCM = 5395668766488/1827
LCM = 2953294344
Thus, we can understand that the LCM of 567,319,157,203,936 is 2953294344.
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FAQs on LCM of 567, 319, 157, 203, 936
1. What is the LCM of 567, 319, 157, 203, 936?
Answer: LCM of 567, 319, 157, 203, 936 is 2953294344.
2. How to calculate the LCM of 567, 319, 157, 203, 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 567, 319, 157, 203, 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}.