Find the LCM of 470, 698, 541, 425, 416 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 470, 698, 541, 425, 416. So, keep reading to learn more.
Given numbers are 470,698,541,425,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,698,541,425,416 is 1568927266400.
Find LCM of 470,698,541,425,416 with Prime Factorization
2 | 470, 698, 541, 425, 416 |
5 | 235, 349, 541, 425, 208 |
47, 349, 541, 85, 208 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 349 x 541 x 85 x 208 = 1568927266400
Therefore, the lowest common multiple of 470,698,541,425,416 is 1568927266400.
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.
470 x 698 x 541 x 425 x 416 = 31378545328000
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
698 : 1, 2, 349, 698
541 : 1, 541
425 : 1, 5, 17, 25, 85, 425
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,698,541,425,416, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
698:2x 349
541:541
425:5x 5x 17
416:2x 2x 2x 2x 2x 13
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 5 = 20
Therefore, the value for common factors is 20.
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 = 31378545328000/(1x20)
LCM = 31378545328000/20
LCM = 1568927266400
Thus, we can understand that the LCM of 470,698,541,425,416 is 1568927266400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 470, 698, 541, 425, 416?
Answer: LCM of 470, 698, 541, 425, 416 is 1568927266400.
2. How to calculate the LCM of 470, 698, 541, 425, 416?
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 470, 698, 541, 425, 416.
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}.