Find the LCM of 343, 535, 247, 467, 934 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 343, 535, 247, 467, 934. So, keep reading to learn more.
Given numbers are 343,535,247,467,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,535,247,467,934 is 42334236490.
Find LCM of 343,535,247,467,934 with Prime Factorization
467 | 343, 535, 247, 467, 934 |
343, 535, 247, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
467 x 343 x 535 x 247 x 1 x 2 = 42334236490
Therefore, the lowest common multiple of 343,535,247,467,934 is 42334236490.
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.
343 x 535 x 247 x 467 x 934 = 19770088440830
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.
343 : 1, 7, 49, 343
535 : 1, 5, 107, 535
247 : 1, 13, 19, 247
467 : 1, 467
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,535,247,467,934, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
535:5x 107
247:13x 19
467:467
934:2x 467
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
467 = 467
Therefore, the value for common factors is 467.
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 = 19770088440830/(1x467)
LCM = 19770088440830/467
LCM = 42334236490
Thus, we can understand that the LCM of 343,535,247,467,934 is 42334236490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 535, 247, 467, 934?
Answer: LCM of 343, 535, 247, 467, 934 is 42334236490.
2. How to calculate the LCM of 343, 535, 247, 467, 934?
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 343, 535, 247, 467, 934.
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}.