LCM of 491, 564, 540, 678, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 564, 540, 678, 748 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 491, 564, 540, 678, 748. So, keep reading to learn more.
Given numbers are 491,564,540,678,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,564,540,678,748 is 263325646980.
Find LCM of 491,564,540,678,748 with Prime Factorization
| 2 | 491, 564, 540, 678, 748 |
| 2 | 491, 282, 270, 339, 374 |
| 3 | 491, 141, 135, 339, 187 |
| 491, 47, 45, 113, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 491 x 47 x 45 x 113 x 187 = 263325646980
Therefore, the lowest common multiple of 491,564,540,678,748 is 263325646980.
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.
491 x 564 x 540 x 678 x 748 = 75837786330240
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.
491 : 1, 491
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
678 : 1, 2, 3, 6, 113, 226, 339, 678
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,564,540,678,748, is 1.
Now, the common factors can be found like this.
491:491
564:2x 2x 3x 47
540:2x 2x 3x 3x 3x 5
678:2x 3x 113
748:2x 2x 11x 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 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 75837786330240/(1x288)
LCM = 75837786330240/288
LCM = 263325646980
Thus, we can understand that the LCM of 491,564,540,678,748 is 263325646980.
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FAQs on LCM of 491, 564, 540, 678, 748
1. What is the LCM of 491, 564, 540, 678, 748?
Answer: LCM of 491, 564, 540, 678, 748 is 263325646980.
2. How to calculate the LCM of 491, 564, 540, 678, 748?
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 491, 564, 540, 678, 748.
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}.