Find the LCM of 785, 635, 353, 422, 744 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 785, 635, 353, 422, 744. So, keep reading to learn more.
Given numbers are 785,635,353,422,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,635,353,422,744 is 5524633517640.
Find LCM of 785,635,353,422,744 with Prime Factorization
2 | 785, 635, 353, 422, 744 |
5 | 785, 635, 353, 211, 372 |
157, 127, 353, 211, 372 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 157 x 127 x 353 x 211 x 372 = 5524633517640
Therefore, the lowest common multiple of 785,635,353,422,744 is 5524633517640.
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.
785 x 635 x 353 x 422 x 744 = 55246335176400
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.
785 : 1, 5, 157, 785
635 : 1, 5, 127, 635
353 : 1, 353
422 : 1, 2, 211, 422
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,635,353,422,744, is 1.
Now, the common factors can be found like this.
785:5x 157
635:5x 127
353:353
422:2x 211
744:2x 2x 2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 55246335176400/(1x10)
LCM = 55246335176400/10
LCM = 5524633517640
Thus, we can understand that the LCM of 785,635,353,422,744 is 5524633517640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 635, 353, 422, 744?
Answer: LCM of 785, 635, 353, 422, 744 is 5524633517640.
2. How to calculate the LCM of 785, 635, 353, 422, 744?
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 785, 635, 353, 422, 744.
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}.