LCM of 233, 268, 763, 392, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 268, 763, 392, 175 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 233, 268, 763, 392, 175. So, keep reading to learn more.
Given numbers are 233,268,763,392,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,268,763,392,175 is 16675670200.
Find LCM of 233,268,763,392,175 with Prime Factorization
| 2 | 233, 268, 763, 392, 175 |
| 2 | 233, 134, 763, 196, 175 |
| 7 | 233, 67, 763, 98, 175 |
| 233, 67, 109, 14, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 233 x 67 x 109 x 14 x 25 = 16675670200
Therefore, the lowest common multiple of 233,268,763,392,175 is 16675670200.
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.
233 x 268 x 763 x 392 x 175 = 3268431359200
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.
233 : 1, 233
268 : 1, 2, 4, 67, 134, 268
763 : 1, 7, 109, 763
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,268,763,392,175, is 1.
Now, the common factors can be found like this.
233:233
268:2x 2x 67
763:7x 109
392:2x 2x 2x 7x 7
175:5x 5x 7
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 3268431359200/(1x196)
LCM = 3268431359200/196
LCM = 16675670200
Thus, we can understand that the LCM of 233,268,763,392,175 is 16675670200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 233, 268, 763, 392, 175
1. What is the LCM of 233, 268, 763, 392, 175?
Answer: LCM of 233, 268, 763, 392, 175 is 16675670200.
2. How to calculate the LCM of 233, 268, 763, 392, 175?
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 233, 268, 763, 392, 175.
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}.