LCM of 716, 745, 358, 874, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 745, 358, 874, 613 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 716, 745, 358, 874, 613. So, keep reading to learn more.
Given numbers are 716,745,358,874,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,745,358,874,613 is 142893083020.
Find LCM of 716,745,358,874,613 with Prime Factorization
| 2 | 716, 745, 358, 874, 613 |
| 179 | 358, 745, 179, 437, 613 |
| 2, 745, 1, 437, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 179 x 2 x 745 x 1 x 437 x 613 = 142893083020
Therefore, the lowest common multiple of 716,745,358,874,613 is 142893083020.
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.
716 x 745 x 358 x 874 x 613 = 102311447442320
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.
716 : 1, 2, 4, 179, 358, 716
745 : 1, 5, 149, 745
358 : 1, 2, 179, 358
874 : 1, 2, 19, 23, 38, 46, 437, 874
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,745,358,874,613, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
745:5x 149
358:2x 179
874:2x 19x 23
613:613
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 = 102311447442320/(1x716)
LCM = 102311447442320/716
LCM = 142893083020
Thus, we can understand that the LCM of 716,745,358,874,613 is 142893083020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 716, 745, 358, 874, 613
1. What is the LCM of 716, 745, 358, 874, 613?
Answer: LCM of 716, 745, 358, 874, 613 is 142893083020.
2. How to calculate the LCM of 716, 745, 358, 874, 613?
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 716, 745, 358, 874, 613.
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}.