LCM of 542, 671, 567, 214, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 671, 567, 214, 967 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 542, 671, 567, 214, 967. So, keep reading to learn more.
Given numbers are 542,671,567,214,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,671,567,214,967 is 21336103890486.
Find LCM of 542,671,567,214,967 with Prime Factorization
| 2 | 542, 671, 567, 214, 967 |
| 271, 671, 567, 107, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 271 x 671 x 567 x 107 x 967 = 21336103890486
Therefore, the lowest common multiple of 542,671,567,214,967 is 21336103890486.
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.
542 x 671 x 567 x 214 x 967 = 42672207780972
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.
542 : 1, 2, 271, 542
671 : 1, 11, 61, 671
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
214 : 1, 2, 107, 214
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,671,567,214,967, is 1.
Now, the common factors can be found like this.
542:2x 271
671:11x 61
567:3x 3x 3x 3x 7
214:2x 107
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 42672207780972/(1x2)
LCM = 42672207780972/2
LCM = 21336103890486
Thus, we can understand that the LCM of 542,671,567,214,967 is 21336103890486.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 542, 671, 567, 214, 967
1. What is the LCM of 542, 671, 567, 214, 967?
Answer: LCM of 542, 671, 567, 214, 967 is 21336103890486.
2. How to calculate the LCM of 542, 671, 567, 214, 967?
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 542, 671, 567, 214, 967.
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}.