Find the LCM of 137, 688, 119, 407, 319 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 137, 688, 119, 407, 319. So, keep reading to learn more.
Given numbers are 137,688,119,407,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,688,119,407,319 is 132387924592.
Find LCM of 137,688,119,407,319 with Prime Factorization
11 | 137, 688, 119, 407, 319 |
137, 688, 119, 37, 29 |
Multiply the prime numbers at the bottom and the left side.
11 x 137 x 688 x 119 x 37 x 29 = 132387924592
Therefore, the lowest common multiple of 137,688,119,407,319 is 132387924592.
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.
137 x 688 x 119 x 407 x 319 = 1456267170512
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.
137 : 1, 137
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
119 : 1, 7, 17, 119
407 : 1, 11, 37, 407
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,688,119,407,319, is 1.
Now, the common factors can be found like this.
137:137
688:2x 2x 2x 2x 43
119:7x 17
407:11x 37
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 1456267170512/(1x11)
LCM = 1456267170512/11
LCM = 132387924592
Thus, we can understand that the LCM of 137,688,119,407,319 is 132387924592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 137, 688, 119, 407, 319?
Answer: LCM of 137, 688, 119, 407, 319 is 132387924592.
2. How to calculate the LCM of 137, 688, 119, 407, 319?
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 137, 688, 119, 407, 319.
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}.