LCM of 941, 879, 972, 612, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 879, 972, 612, 429 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 941, 879, 972, 612, 429. So, keep reading to learn more.
Given numbers are 941,879,972,612,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,879,972,612,429 is 651491070516.
Find LCM of 941,879,972,612,429 with Prime Factorization
| 2 | 941, 879, 972, 612, 429 |
| 2 | 941, 879, 486, 306, 429 |
| 3 | 941, 879, 243, 153, 429 |
| 3 | 941, 293, 81, 51, 143 |
| 941, 293, 27, 17, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 941 x 293 x 27 x 17 x 143 = 651491070516
Therefore, the lowest common multiple of 941,879,972,612,429 is 651491070516.
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.
941 x 879 x 972 x 612 x 429 = 211083106847184
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.
941 : 1, 941
879 : 1, 3, 293, 879
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,879,972,612,429, is 1.
Now, the common factors can be found like this.
941:941
879:3x 293
972:2x 2x 3x 3x 3x 3x 3
612:2x 2x 3x 3x 17
429:3x 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 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 211083106847184/(1x324)
LCM = 211083106847184/324
LCM = 651491070516
Thus, we can understand that the LCM of 941,879,972,612,429 is 651491070516.
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FAQs on LCM of 941, 879, 972, 612, 429
1. What is the LCM of 941, 879, 972, 612, 429?
Answer: LCM of 941, 879, 972, 612, 429 is 651491070516.
2. How to calculate the LCM of 941, 879, 972, 612, 429?
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 941, 879, 972, 612, 429.
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}.