Find the LCM of 157, 319, 314, 859 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 157, 319, 314, 859. So, keep reading to learn more.
Given numbers are 157,319,314,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,319,314,859 is 86042594.
Find LCM of 157,319,314,859 with Prime Factorization
157 | 157, 319, 314, 859 |
1, 319, 2, 859 |
Multiply the prime numbers at the bottom and the left side.
157 x 1 x 319 x 2 x 859 = 86042594
Therefore, the lowest common multiple of 157,319,314,859 is 86042594.
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.
157 x 319 x 314 x 859 = 13508687258
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.
157 : 1, 157
319 : 1, 11, 29, 319
314 : 1, 2, 157, 314
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,319,314,859, is 1.
Now, the common factors can be found like this.
157:157
319:11x 29
314:2x 157
859:859
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
157 = 157
Therefore, the value for common factors is 157.
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 = 13508687258/(1x157)
LCM = 13508687258/157
LCM = 86042594
Thus, we can understand that the LCM of 157,319,314,859 is 86042594.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 157, 319, 314, 859?
Answer: LCM of 157, 319, 314, 859 is 86042594.
2. How to calculate the LCM of 157, 319, 314, 859?
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 157, 319, 314, 859.
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}.