Find the LCM of 214, 708, 119, 295, 740 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 214, 708, 119, 295, 740. So, keep reading to learn more.
Given numbers are 214,708,119,295,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,708,119,295,740 is 1667768340.
Find LCM of 214,708,119,295,740 with Prime Factorization
2 | 214, 708, 119, 295, 740 |
2 | 107, 354, 119, 295, 370 |
5 | 107, 177, 119, 295, 185 |
59 | 107, 177, 119, 59, 37 |
107, 3, 119, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 59 x 107 x 3 x 119 x 1 x 37 = 1667768340
Therefore, the lowest common multiple of 214,708,119,295,740 is 1667768340.
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.
214 x 708 x 119 x 295 x 740 = 3935933282400
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.
214 : 1, 2, 107, 214
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
119 : 1, 7, 17, 119
295 : 1, 5, 59, 295
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,708,119,295,740, is 1.
Now, the common factors can be found like this.
214:2x 107
708:2x 2x 3x 59
119:7x 17
295:5x 59
740:2x 2x 5x 37
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 5x 59 = 2360
Therefore, the value for common factors is 2360.
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 = 3935933282400/(1x2360)
LCM = 3935933282400/2360
LCM = 1667768340
Thus, we can understand that the LCM of 214,708,119,295,740 is 1667768340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 214, 708, 119, 295, 740?
Answer: LCM of 214, 708, 119, 295, 740 is 1667768340.
2. How to calculate the LCM of 214, 708, 119, 295, 740?
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 214, 708, 119, 295, 740.
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}.