Find the LCM of 358, 153, 601, 874, 689 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 358, 153, 601, 874, 689. So, keep reading to learn more.
Given numbers are 358,153,601,874,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,153,601,874,689 is 9911732857182.
Find LCM of 358,153,601,874,689 with Prime Factorization
2 | 358, 153, 601, 874, 689 |
179, 153, 601, 437, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 179 x 153 x 601 x 437 x 689 = 9911732857182
Therefore, the lowest common multiple of 358,153,601,874,689 is 9911732857182.
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.
358 x 153 x 601 x 874 x 689 = 19823465714364
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.
358 : 1, 2, 179, 358
153 : 1, 3, 9, 17, 51, 153
601 : 1, 601
874 : 1, 2, 19, 23, 38, 46, 437, 874
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,153,601,874,689, is 1.
Now, the common factors can be found like this.
358:2x 179
153:3x 3x 17
601:601
874:2x 19x 23
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 19823465714364/(1x2)
LCM = 19823465714364/2
LCM = 9911732857182
Thus, we can understand that the LCM of 358,153,601,874,689 is 9911732857182.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 153, 601, 874, 689?
Answer: LCM of 358, 153, 601, 874, 689 is 9911732857182.
2. How to calculate the LCM of 358, 153, 601, 874, 689?
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 358, 153, 601, 874, 689.
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}.