LCM of 874, 213, 722, 213, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 213, 722, 213, 476 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 874, 213, 722, 213, 476. So, keep reading to learn more.
Given numbers are 874,213,722,213,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,213,722,213,476 is 841824564.
Find LCM of 874,213,722,213,476 with Prime Factorization
| 2 | 874, 213, 722, 213, 476 |
| 3 | 437, 213, 361, 213, 238 |
| 19 | 437, 71, 361, 71, 238 |
| 71 | 23, 71, 19, 71, 238 |
| 23, 1, 19, 1, 238 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 71 x 23 x 1 x 19 x 1 x 238 = 841824564
Therefore, the lowest common multiple of 874,213,722,213,476 is 841824564.
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.
874 x 213 x 722 x 213 x 476 = 13627456042032
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
213 : 1, 3, 71, 213
722 : 1, 2, 19, 38, 361, 722
213 : 1, 3, 71, 213
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,213,722,213,476, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
213:3x 71
722:2x 19x 19
213:3x 71
476:2x 2x 7x 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 3x 19x 71 = 16188
Therefore, the value for common factors is 16188.
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 = 13627456042032/(1x16188)
LCM = 13627456042032/16188
LCM = 841824564
Thus, we can understand that the LCM of 874,213,722,213,476 is 841824564.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 213, 722, 213, 476
1. What is the LCM of 874, 213, 722, 213, 476?
Answer: LCM of 874, 213, 722, 213, 476 is 841824564.
2. How to calculate the LCM of 874, 213, 722, 213, 476?
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 874, 213, 722, 213, 476.
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}.