LCM of 467, 468, 942, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 468, 942, 858 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 467, 468, 942, 858. So, keep reading to learn more.
Given numbers are 467,468,942,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,468,942,858 is 377446212.
Find LCM of 467,468,942,858 with Prime Factorization
| 2 | 467, 468, 942, 858 |
| 3 | 467, 234, 471, 429 |
| 13 | 467, 78, 157, 143 |
| 467, 6, 157, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 467 x 6 x 157 x 11 = 377446212
Therefore, the lowest common multiple of 467,468,942,858 is 377446212.
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.
467 x 468 x 942 x 858 = 176644827216
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.
467 : 1, 467
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
942 : 1, 2, 3, 6, 157, 314, 471, 942
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,468,942,858, is 1.
Now, the common factors can be found like this.
467:467
468:2x 2x 3x 3x 13
942:2x 3x 157
858:2x 3x 11x 13
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 176644827216/(1x468)
LCM = 176644827216/468
LCM = 377446212
Thus, we can understand that the LCM of 467,468,942,858 is 377446212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 467, 468, 942, 858
1. What is the LCM of 467, 468, 942, 858?
Answer: LCM of 467, 468, 942, 858 is 377446212.
2. How to calculate the LCM of 467, 468, 942, 858?
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 467, 468, 942, 858.
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}.