LCM of 402, 734, 234, 117, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 734, 234, 117, 567 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 402, 734, 234, 117, 567. So, keep reading to learn more.
Given numbers are 402,734,234,117,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,734,234,117,567 is 362491038.
Find LCM of 402,734,234,117,567 with Prime Factorization
| 2 | 402, 734, 234, 117, 567 |
| 3 | 201, 367, 117, 117, 567 |
| 3 | 67, 367, 39, 39, 189 |
| 13 | 67, 367, 13, 13, 63 |
| 67, 367, 1, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 67 x 367 x 1 x 1 x 63 = 362491038
Therefore, the lowest common multiple of 402,734,234,117,567 is 362491038.
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.
402 x 734 x 234 x 117 x 567 = 4580436756168
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
734 : 1, 2, 367, 734
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
117 : 1, 3, 9, 13, 39, 117
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,734,234,117,567, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
734:2x 367
234:2x 3x 3x 13
117:3x 3x 13
567:3x 3x 3x 3x 7
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 3x 3x 13 = 12636
Therefore, the value for common factors is 12636.
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 = 4580436756168/(1x12636)
LCM = 4580436756168/12636
LCM = 362491038
Thus, we can understand that the LCM of 402,734,234,117,567 is 362491038.
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FAQs on LCM of 402, 734, 234, 117, 567
1. What is the LCM of 402, 734, 234, 117, 567?
Answer: LCM of 402, 734, 234, 117, 567 is 362491038.
2. How to calculate the LCM of 402, 734, 234, 117, 567?
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 402, 734, 234, 117, 567.
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}.