LCM of 828, 191, 546, 253, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 191, 546, 253, 153 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 828, 191, 546, 253, 153. So, keep reading to learn more.
Given numbers are 828,191,546,253,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,191,546,253,153 is 2691204516.
Find LCM of 828,191,546,253,153 with Prime Factorization
| 2 | 828, 191, 546, 253, 153 |
| 3 | 414, 191, 273, 253, 153 |
| 3 | 138, 191, 91, 253, 51 |
| 23 | 46, 191, 91, 253, 17 |
| 2, 191, 91, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 2 x 191 x 91 x 11 x 17 = 2691204516
Therefore, the lowest common multiple of 828,191,546,253,153 is 2691204516.
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.
828 x 191 x 546 x 253 x 153 = 3342476008872
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
191 : 1, 191
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
253 : 1, 11, 23, 253
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,191,546,253,153, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
191:191
546:2x 3x 7x 13
253:11x 23
153:3x 3x 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 3x 3x 3x 23 = 1242
Therefore, the value for common factors is 1242.
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 = 3342476008872/(1x1242)
LCM = 3342476008872/1242
LCM = 2691204516
Thus, we can understand that the LCM of 828,191,546,253,153 is 2691204516.
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FAQs on LCM of 828, 191, 546, 253, 153
1. What is the LCM of 828, 191, 546, 253, 153?
Answer: LCM of 828, 191, 546, 253, 153 is 2691204516.
2. How to calculate the LCM of 828, 191, 546, 253, 153?
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 828, 191, 546, 253, 153.
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}.