Find the LCM of 753, 647, 220, 242, 368 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 753, 647, 220, 242, 368. So, keep reading to learn more.
Given numbers are 753,647,220,242,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,647,220,242,368 is 108468204240.
Find LCM of 753,647,220,242,368 with Prime Factorization
2 | 753, 647, 220, 242, 368 |
2 | 753, 647, 110, 121, 184 |
11 | 753, 647, 55, 121, 92 |
753, 647, 5, 11, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 753 x 647 x 5 x 11 x 92 = 108468204240
Therefore, the lowest common multiple of 753,647,220,242,368 is 108468204240.
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.
753 x 647 x 220 x 242 x 368 = 9545201973120
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.
753 : 1, 3, 251, 753
647 : 1, 647
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
242 : 1, 2, 11, 22, 121, 242
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,647,220,242,368, is 1.
Now, the common factors can be found like this.
753:3x 251
647:647
220:2x 2x 5x 11
242:2x 11x 11
368:2x 2x 2x 2x 23
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 11 = 88
Therefore, the value for common factors is 88.
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 = 9545201973120/(1x88)
LCM = 9545201973120/88
LCM = 108468204240
Thus, we can understand that the LCM of 753,647,220,242,368 is 108468204240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 753, 647, 220, 242, 368?
Answer: LCM of 753, 647, 220, 242, 368 is 108468204240.
2. How to calculate the LCM of 753, 647, 220, 242, 368?
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 753, 647, 220, 242, 368.
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}.