Find the LCM of 302, 644, 930, 880, 572 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 302, 644, 930, 880, 572. So, keep reading to learn more.
Given numbers are 302,644,930,880,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,644,930,880,572 is 25864959120.
Find LCM of 302,644,930,880,572 with Prime Factorization
2 | 302, 644, 930, 880, 572 |
2 | 151, 322, 465, 440, 286 |
5 | 151, 161, 465, 220, 143 |
11 | 151, 161, 93, 44, 143 |
151, 161, 93, 4, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 151 x 161 x 93 x 4 x 13 = 25864959120
Therefore, the lowest common multiple of 302,644,930,880,572 is 25864959120.
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.
302 x 644 x 930 x 880 x 572 = 91044656102400
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.
302 : 1, 2, 151, 302
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,644,930,880,572, is 2.
Now, the common factors can be found like this.
302:2x 151
644:2x 2x 7x 23
930:2x 3x 5x 31
880:2x 2x 2x 2x 5x 11
572:2x 2x 11x 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 2x 2x 2x 5x 11 = 1760
Therefore, the value for common factors is 1760.
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 = 91044656102400/(2x1760)
LCM = 91044656102400/3520
LCM = 25864959120
Thus, we can understand that the LCM of 302,644,930,880,572 is 25864959120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 644, 930, 880, 572?
Answer: LCM of 302, 644, 930, 880, 572 is 25864959120.
2. How to calculate the LCM of 302, 644, 930, 880, 572?
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 302, 644, 930, 880, 572.
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}.