LCM of 936, 510, 253, 192, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 510, 253, 192, 748 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 936, 510, 253, 192, 748. So, keep reading to learn more.
Given numbers are 936,510,253,192,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,510,253,192,748 is 161029440.
Find LCM of 936,510,253,192,748 with Prime Factorization
| 2 | 936, 510, 253, 192, 748 |
| 2 | 468, 255, 253, 96, 374 |
| 2 | 234, 255, 253, 48, 187 |
| 3 | 117, 255, 253, 24, 187 |
| 11 | 39, 85, 253, 8, 187 |
| 17 | 39, 85, 23, 8, 17 |
| 39, 5, 23, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 39 x 5 x 23 x 8 x 1 = 161029440
Therefore, the lowest common multiple of 936,510,253,192,748 is 161029440.
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.
936 x 510 x 253 x 192 x 748 = 17344803041280
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.
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
253 : 1, 11, 23, 253
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,510,253,192,748, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
510:2x 3x 5x 17
253:11x 23
192:2x 2x 2x 2x 2x 2x 3
748:2x 2x 11x 17
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 2x 2x 3x 3x 11x 17 = 107712
Therefore, the value for common factors is 107712.
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 = 17344803041280/(1x107712)
LCM = 17344803041280/107712
LCM = 161029440
Thus, we can understand that the LCM of 936,510,253,192,748 is 161029440.
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FAQs on LCM of 936, 510, 253, 192, 748
1. What is the LCM of 936, 510, 253, 192, 748?
Answer: LCM of 936, 510, 253, 192, 748 is 161029440.
2. How to calculate the LCM of 936, 510, 253, 192, 748?
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 936, 510, 253, 192, 748.
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}.