LCM of 400, 672, 372, 452, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 672, 372, 452, 548 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 400, 672, 372, 452, 548. So, keep reading to learn more.
Given numbers are 400,672,372,452,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,672,372,452,548 is 8062504800.
Find LCM of 400,672,372,452,548 with Prime Factorization
| 2 | 400, 672, 372, 452, 548 |
| 2 | 200, 336, 186, 226, 274 |
| 2 | 100, 168, 93, 113, 137 |
| 2 | 50, 84, 93, 113, 137 |
| 3 | 25, 42, 93, 113, 137 |
| 25, 14, 31, 113, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 25 x 14 x 31 x 113 x 137 = 8062504800
Therefore, the lowest common multiple of 400,672,372,452,548 is 8062504800.
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.
400 x 672 x 372 x 452 x 548 = 24768014745600
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
452 : 1, 2, 4, 113, 226, 452
548 : 1, 2, 4, 137, 274, 548
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,672,372,452,548, is 4.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
672:2x 2x 2x 2x 2x 3x 7
372:2x 2x 3x 31
452:2x 2x 113
548:2x 2x 137
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 2x 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 24768014745600/(4x768)
LCM = 24768014745600/3072
LCM = 8062504800
Thus, we can understand that the LCM of 400,672,372,452,548 is 8062504800.
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FAQs on LCM of 400, 672, 372, 452, 548
1. What is the LCM of 400, 672, 372, 452, 548?
Answer: LCM of 400, 672, 372, 452, 548 is 8062504800.
2. How to calculate the LCM of 400, 672, 372, 452, 548?
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 400, 672, 372, 452, 548.
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}.