LCM of 546, 865, 945, 594, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 865, 945, 594, 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 546, 865, 945, 594, 748. So, keep reading to learn more.
Given numbers are 546,865,945,594,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,865,945,594,748 is 1589728140.
Find LCM of 546,865,945,594,748 with Prime Factorization
| 2 | 546, 865, 945, 594, 748 |
| 3 | 273, 865, 945, 297, 374 |
| 3 | 91, 865, 315, 99, 374 |
| 3 | 91, 865, 105, 33, 374 |
| 5 | 91, 865, 35, 11, 374 |
| 7 | 91, 173, 7, 11, 374 |
| 11 | 13, 173, 1, 11, 374 |
| 13, 173, 1, 1, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 11 x 13 x 173 x 1 x 1 x 34 = 1589728140
Therefore, the lowest common multiple of 546,865,945,594,748 is 1589728140.
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.
546 x 865 x 945 x 594 x 748 = 198302688183600
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
865 : 1, 5, 173, 865
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
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 546,865,945,594,748, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
865:5x 173
945:3x 3x 3x 5x 7
594:2x 3x 3x 3x 11
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 3x 3x 3x 3x 5x 7x 11 = 124740
Therefore, the value for common factors is 124740.
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 = 198302688183600/(1x124740)
LCM = 198302688183600/124740
LCM = 1589728140
Thus, we can understand that the LCM of 546,865,945,594,748 is 1589728140.
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FAQs on LCM of 546, 865, 945, 594, 748
1. What is the LCM of 546, 865, 945, 594, 748?
Answer: LCM of 546, 865, 945, 594, 748 is 1589728140.
2. How to calculate the LCM of 546, 865, 945, 594, 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 546, 865, 945, 594, 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}.