LCM of 113, 721, 616, 972, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 721, 616, 972, 707 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 113, 721, 616, 972, 707. So, keep reading to learn more.
Given numbers are 113,721,616,972,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,721,616,972,707 is 175964081832.
Find LCM of 113,721,616,972,707 with Prime Factorization
| 2 | 113, 721, 616, 972, 707 |
| 2 | 113, 721, 308, 486, 707 |
| 7 | 113, 721, 154, 243, 707 |
| 113, 103, 22, 243, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 113 x 103 x 22 x 243 x 101 = 175964081832
Therefore, the lowest common multiple of 113,721,616,972,707 is 175964081832.
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.
113 x 721 x 616 x 972 x 707 = 34488960039072
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.
113 : 1, 113
721 : 1, 7, 103, 721
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,721,616,972,707, is 1.
Now, the common factors can be found like this.
113:113
721:7x 103
616:2x 2x 2x 7x 11
972:2x 2x 3x 3x 3x 3x 3
707:7x 101
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 34488960039072/(1x196)
LCM = 34488960039072/196
LCM = 175964081832
Thus, we can understand that the LCM of 113,721,616,972,707 is 175964081832.
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FAQs on LCM of 113, 721, 616, 972, 707
1. What is the LCM of 113, 721, 616, 972, 707?
Answer: LCM of 113, 721, 616, 972, 707 is 175964081832.
2. How to calculate the LCM of 113, 721, 616, 972, 707?
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 113, 721, 616, 972, 707.
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}.