Find the LCM of 151, 546, 716, 358, 739 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 151, 546, 716, 358, 739. So, keep reading to learn more.
Given numbers are 151,546,716,358,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,546,716,358,739 is 21812078652.
Find LCM of 151,546,716,358,739 with Prime Factorization
2 | 151, 546, 716, 358, 739 |
179 | 151, 273, 358, 179, 739 |
151, 273, 2, 1, 739 |
Multiply the prime numbers at the bottom and the left side.
2 x 179 x 151 x 273 x 2 x 1 x 739 = 21812078652
Therefore, the lowest common multiple of 151,546,716,358,739 is 21812078652.
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.
151 x 546 x 716 x 358 x 739 = 15617448314832
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.
151 : 1, 151
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
716 : 1, 2, 4, 179, 358, 716
358 : 1, 2, 179, 358
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,546,716,358,739, is 1.
Now, the common factors can be found like this.
151:151
546:2x 3x 7x 13
716:2x 2x 179
358:2x 179
739:739
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 179 = 716
Therefore, the value for common factors is 716.
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 = 15617448314832/(1x716)
LCM = 15617448314832/716
LCM = 21812078652
Thus, we can understand that the LCM of 151,546,716,358,739 is 21812078652.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 546, 716, 358, 739?
Answer: LCM of 151, 546, 716, 358, 739 is 21812078652.
2. How to calculate the LCM of 151, 546, 716, 358, 739?
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 151, 546, 716, 358, 739.
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}.