Find the LCM of 653, 735, 279, 327, 146 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 653, 735, 279, 327, 146. So, keep reading to learn more.
Given numbers are 653,735,279,327,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,735,279,327,146 is 710334359910.
Find LCM of 653,735,279,327,146 with Prime Factorization
3 | 653, 735, 279, 327, 146 |
653, 245, 93, 109, 146 |
Multiply the prime numbers at the bottom and the left side.
3 x 653 x 245 x 93 x 109 x 146 = 710334359910
Therefore, the lowest common multiple of 653,735,279,327,146 is 710334359910.
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.
653 x 735 x 279 x 327 x 146 = 6393009239190
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.
653 : 1, 653
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
279 : 1, 3, 9, 31, 93, 279
327 : 1, 3, 109, 327
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,735,279,327,146, is 1.
Now, the common factors can be found like this.
653:653
735:3x 5x 7x 7
279:3x 3x 31
327:3x 109
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 6393009239190/(1x9)
LCM = 6393009239190/9
LCM = 710334359910
Thus, we can understand that the LCM of 653,735,279,327,146 is 710334359910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 653, 735, 279, 327, 146?
Answer: LCM of 653, 735, 279, 327, 146 is 710334359910.
2. How to calculate the LCM of 653, 735, 279, 327, 146?
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 653, 735, 279, 327, 146.
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}.