LCM of 397, 372, 627, 649, 562
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 372, 627, 649, 562 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 397, 372, 627, 649, 562. So, keep reading to learn more.
Given numbers are 397,372,627,649,562
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,372,627,649,562 is 511726684524.
Find LCM of 397,372,627,649,562 with Prime Factorization
| 2 | 397, 372, 627, 649, 562 |
| 3 | 397, 186, 627, 649, 281 |
| 11 | 397, 62, 209, 649, 281 |
| 397, 62, 19, 59, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 397 x 62 x 19 x 59 x 281 = 511726684524
Therefore, the lowest common multiple of 397,372,627,649,562 is 511726684524.
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.
397 x 372 x 627 x 649 x 562 = 33773961178584
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.
397 : 1, 397
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
627 : 1, 3, 11, 19, 33, 57, 209, 627
649 : 1, 11, 59, 649
562 : 1, 2, 281, 562
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,372,627,649,562, is 1.
Now, the common factors can be found like this.
397:397
372:2x 2x 3x 31
627:3x 11x 19
649:11x 59
562:2x 281
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 11 = 66
Therefore, the value for common factors is 66.
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 = 33773961178584/(1x66)
LCM = 33773961178584/66
LCM = 511726684524
Thus, we can understand that the LCM of 397,372,627,649,562 is 511726684524.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 372, 627, 649, 562
1. What is the LCM of 397, 372, 627, 649, 562?
Answer: LCM of 397, 372, 627, 649, 562 is 511726684524.
2. How to calculate the LCM of 397, 372, 627, 649, 562?
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 397, 372, 627, 649, 562.
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}.