Find the LCM of 679, 262, 253, 788, 524 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 679, 262, 253, 788, 524. So, keep reading to learn more.
Given numbers are 679,262,253,788,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,262,253,788,524 is 17733228436.
Find LCM of 679,262,253,788,524 with Prime Factorization
2 | 679, 262, 253, 788, 524 |
2 | 679, 131, 253, 394, 262 |
131 | 679, 131, 253, 197, 131 |
679, 1, 253, 197, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 679 x 1 x 253 x 197 x 1 = 17733228436
Therefore, the lowest common multiple of 679,262,253,788,524 is 17733228436.
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.
679 x 262 x 253 x 788 x 524 = 18584423400928
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.
679 : 1, 7, 97, 679
262 : 1, 2, 131, 262
253 : 1, 11, 23, 253
788 : 1, 2, 4, 197, 394, 788
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,262,253,788,524, is 1.
Now, the common factors can be found like this.
679:7x 97
262:2x 131
253:11x 23
788:2x 2x 197
524:2x 2x 131
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 131 = 1048
Therefore, the value for common factors is 1048.
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 = 18584423400928/(1x1048)
LCM = 18584423400928/1048
LCM = 17733228436
Thus, we can understand that the LCM of 679,262,253,788,524 is 17733228436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 679, 262, 253, 788, 524?
Answer: LCM of 679, 262, 253, 788, 524 is 17733228436.
2. How to calculate the LCM of 679, 262, 253, 788, 524?
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 679, 262, 253, 788, 524.
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}.