Find the LCM of 347, 220, 550, 297, 919 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, 220, 550, 297, 919. So, keep reading to learn more.
Given numbers are 347,220,550,297,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,220,550,297,919 is 9471122100.
Find LCM of 347,220,550,297,919 with Prime Factorization
2 | 347, 220, 550, 297, 919 |
5 | 347, 110, 275, 297, 919 |
11 | 347, 22, 55, 297, 919 |
347, 2, 5, 27, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 347 x 2 x 5 x 27 x 919 = 9471122100
Therefore, the lowest common multiple of 347,220,550,297,919 is 9471122100.
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 220 x 550 x 297 x 919 = 11460057741000
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
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
297 : 1, 3, 9, 11, 27, 33, 99, 297
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,220,550,297,919, is 1.
Now, the common factors can be found like this.
347:347
220:2x 2x 5x 11
550:2x 5x 5x 11
297:3x 3x 3x 11
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11 = 1210
Therefore, the value for common factors is 1210.
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 = 11460057741000/(1x1210)
LCM = 11460057741000/1210
LCM = 9471122100
Thus, we can understand that the LCM of 347,220,550,297,919 is 9471122100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 220, 550, 297, 919?
Answer: LCM of 347, 220, 550, 297, 919 is 9471122100.
2. How to calculate the LCM of 347, 220, 550, 297, 919?
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, 220, 550, 297, 919.
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}.