LCM of 493, 374, 824, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 374, 824, 546 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 493, 374, 824, 546. So, keep reading to learn more.
Given numbers are 493,374,824,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,374,824,546 is 1219914696.
Find LCM of 493,374,824,546 with Prime Factorization
| 2 | 493, 374, 824, 546 |
| 17 | 493, 187, 412, 273 |
| 29, 11, 412, 273 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 11 x 412 x 273 = 1219914696
Therefore, the lowest common multiple of 493,374,824,546 is 1219914696.
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.
493 x 374 x 824 x 546 = 82954199328
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.
493 : 1, 17, 29, 493
374 : 1, 2, 11, 17, 22, 34, 187, 374
824 : 1, 2, 4, 8, 103, 206, 412, 824
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,374,824,546, is 1.
Now, the common factors can be found like this.
493:17x 29
374:2x 11x 17
824:2x 2x 2x 103
546:2x 3x 7x 13
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 17 = 68
Therefore, the value for common factors is 68.
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 = 82954199328/(1x68)
LCM = 82954199328/68
LCM = 1219914696
Thus, we can understand that the LCM of 493,374,824,546 is 1219914696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 374, 824, 546
1. What is the LCM of 493, 374, 824, 546?
Answer: LCM of 493, 374, 824, 546 is 1219914696.
2. How to calculate the LCM of 493, 374, 824, 546?
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 493, 374, 824, 546.
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}.