LCM of 494, 672, 975, 307
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 672, 975, 307 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 494, 672, 975, 307. So, keep reading to learn more.
Given numbers are 494,672,975,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,672,975,307 is 1273927200.
Find LCM of 494,672,975,307 with Prime Factorization
| 2 | 494, 672, 975, 307 |
| 3 | 247, 336, 975, 307 |
| 13 | 247, 112, 325, 307 |
| 19, 112, 25, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 112 x 25 x 307 = 1273927200
Therefore, the lowest common multiple of 494,672,975,307 is 1273927200.
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.
494 x 672 x 975 x 307 = 99366321600
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,672,975,307, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
672:2x 2x 2x 2x 2x 3x 7
975:3x 5x 5x 13
307:307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 99366321600/(1x78)
LCM = 99366321600/78
LCM = 1273927200
Thus, we can understand that the LCM of 494,672,975,307 is 1273927200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 494, 672, 975, 307
1. What is the LCM of 494, 672, 975, 307?
Answer: LCM of 494, 672, 975, 307 is 1273927200.
2. How to calculate the LCM of 494, 672, 975, 307?
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 494, 672, 975, 307.
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}.