LCM of 546, 391, 298, 678, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 391, 298, 678, 918 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, 391, 298, 678, 918. So, keep reading to learn more.
Given numbers are 546,391,298,678,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,391,298,678,918 is 32350174038.
Find LCM of 546,391,298,678,918 with Prime Factorization
| 2 | 546, 391, 298, 678, 918 |
| 3 | 273, 391, 149, 339, 459 |
| 17 | 91, 391, 149, 113, 153 |
| 91, 23, 149, 113, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 91 x 23 x 149 x 113 x 9 = 32350174038
Therefore, the lowest common multiple of 546,391,298,678,918 is 32350174038.
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 391 x 298 x 678 x 918 = 39596613022512
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
391 : 1, 17, 23, 391
298 : 1, 2, 149, 298
678 : 1, 2, 3, 6, 113, 226, 339, 678
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,391,298,678,918, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
391:17x 23
298:2x 149
678:2x 3x 113
918:2x 3x 3x 3x 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 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 39596613022512/(1x1224)
LCM = 39596613022512/1224
LCM = 32350174038
Thus, we can understand that the LCM of 546,391,298,678,918 is 32350174038.
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FAQs on LCM of 546, 391, 298, 678, 918
1. What is the LCM of 546, 391, 298, 678, 918?
Answer: LCM of 546, 391, 298, 678, 918 is 32350174038.
2. How to calculate the LCM of 546, 391, 298, 678, 918?
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, 391, 298, 678, 918.
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}.