Find the LCM of 347, 679, 744, 548, 679 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 347, 679, 744, 548, 679. So, keep reading to learn more.
Given numbers are 347,679,744,548,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,679,744,548,679 is 24015561864.
Find LCM of 347,679,744,548,679 with Prime Factorization
2 | 347, 679, 744, 548, 679 |
2 | 347, 679, 372, 274, 679 |
7 | 347, 679, 186, 137, 679 |
97 | 347, 97, 186, 137, 97 |
347, 1, 186, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 97 x 347 x 1 x 186 x 137 x 1 = 24015561864
Therefore, the lowest common multiple of 347,679,744,548,679 is 24015561864.
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.
347 x 679 x 744 x 548 x 679 = 65226266022624
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.
347 : 1, 347
679 : 1, 7, 97, 679
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
548 : 1, 2, 4, 137, 274, 548
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,679,744,548,679, is 1.
Now, the common factors can be found like this.
347:347
679:7x 97
744:2x 2x 2x 3x 31
548:2x 2x 137
679:7x 97
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 7x 97 = 2716
Therefore, the value for common factors is 2716.
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 = 65226266022624/(1x2716)
LCM = 65226266022624/2716
LCM = 24015561864
Thus, we can understand that the LCM of 347,679,744,548,679 is 24015561864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 679, 744, 548, 679?
Answer: LCM of 347, 679, 744, 548, 679 is 24015561864.
2. How to calculate the LCM of 347, 679, 744, 548, 679?
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 347, 679, 744, 548, 679.
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}.