Find the LCM of 301, 716, 567, 840 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 301, 716, 567, 840. So, keep reading to learn more.
Given numbers are 301,716,567,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,716,567,840 is 174567960.
Find LCM of 301,716,567,840 with Prime Factorization
2 | 301, 716, 567, 840 |
2 | 301, 358, 567, 420 |
3 | 301, 179, 567, 210 |
7 | 301, 179, 189, 70 |
43, 179, 27, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 43 x 179 x 27 x 10 = 174567960
Therefore, the lowest common multiple of 301,716,567,840 is 174567960.
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.
301 x 716 x 567 x 840 = 102645960480
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.
301 : 1, 7, 43, 301
716 : 1, 2, 4, 179, 358, 716
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,716,567,840, is 1.
Now, the common factors can be found like this.
301:7x 43
716:2x 2x 179
567:3x 3x 3x 3x 7
840:2x 2x 2x 3x 5x 7
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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 102645960480/(1x588)
LCM = 102645960480/588
LCM = 174567960
Thus, we can understand that the LCM of 301,716,567,840 is 174567960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 716, 567, 840?
Answer: LCM of 301, 716, 567, 840 is 174567960.
2. How to calculate the LCM of 301, 716, 567, 840?
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 301, 716, 567, 840.
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}.