LCM of 138, 707, 874, 757
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 707, 874, 757 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 138, 707, 874, 757. So, keep reading to learn more.
Given numbers are 138,707,874,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,707,874,757 is 1403291778.
Find LCM of 138,707,874,757 with Prime Factorization
| 2 | 138, 707, 874, 757 |
| 23 | 69, 707, 437, 757 |
| 3, 707, 19, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 3 x 707 x 19 x 757 = 1403291778
Therefore, the lowest common multiple of 138,707,874,757 is 1403291778.
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.
138 x 707 x 874 x 757 = 64551421788
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
707 : 1, 7, 101, 707
874 : 1, 2, 19, 23, 38, 46, 437, 874
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,707,874,757, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
707:7x 101
874:2x 19x 23
757:757
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 64551421788/(1x46)
LCM = 64551421788/46
LCM = 1403291778
Thus, we can understand that the LCM of 138,707,874,757 is 1403291778.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 707, 874, 757
1. What is the LCM of 138, 707, 874, 757?
Answer: LCM of 138, 707, 874, 757 is 1403291778.
2. How to calculate the LCM of 138, 707, 874, 757?
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 138, 707, 874, 757.
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}.