LCM of 240, 854, 218, 564, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 854, 218, 564, 732 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 240, 854, 218, 564, 732. So, keep reading to learn more.
Given numbers are 240,854,218,564,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,854,218,564,732 is 525005040.
Find LCM of 240,854,218,564,732 with Prime Factorization
| 2 | 240, 854, 218, 564, 732 |
| 2 | 120, 427, 109, 282, 366 |
| 3 | 60, 427, 109, 141, 183 |
| 61 | 20, 427, 109, 47, 61 |
| 20, 7, 109, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 20 x 7 x 109 x 47 x 1 = 525005040
Therefore, the lowest common multiple of 240,854,218,564,732 is 525005040.
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.
240 x 854 x 218 x 564 x 732 = 18446577085440
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
854 : 1, 2, 7, 14, 61, 122, 427, 854
218 : 1, 2, 109, 218
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,854,218,564,732, is 2.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
854:2x 7x 61
218:2x 109
564:2x 2x 3x 47
732:2x 2x 3x 61
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 2x 2x 2x 3x 3x 61 = 17568
Therefore, the value for common factors is 17568.
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 = 18446577085440/(2x17568)
LCM = 18446577085440/35136
LCM = 525005040
Thus, we can understand that the LCM of 240,854,218,564,732 is 525005040.
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FAQs on LCM of 240, 854, 218, 564, 732
1. What is the LCM of 240, 854, 218, 564, 732?
Answer: LCM of 240, 854, 218, 564, 732 is 525005040.
2. How to calculate the LCM of 240, 854, 218, 564, 732?
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 240, 854, 218, 564, 732.
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}.