LCM of 616, 814, 677, 692, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 814, 677, 692, 501 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 616, 814, 677, 692, 501. So, keep reading to learn more.
Given numbers are 616,814,677,692,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,814,677,692,501 is 1337380337832.
Find LCM of 616,814,677,692,501 with Prime Factorization
| 2 | 616, 814, 677, 692, 501 |
| 2 | 308, 407, 677, 346, 501 |
| 11 | 154, 407, 677, 173, 501 |
| 14, 37, 677, 173, 501 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 14 x 37 x 677 x 173 x 501 = 1337380337832
Therefore, the lowest common multiple of 616,814,677,692,501 is 1337380337832.
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.
616 x 814 x 677 x 692 x 501 = 117689469729216
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
814 : 1, 2, 11, 22, 37, 74, 407, 814
677 : 1, 677
692 : 1, 2, 4, 173, 346, 692
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,814,677,692,501, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
814:2x 11x 37
677:677
692:2x 2x 173
501:3x 167
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 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 117689469729216/(1x88)
LCM = 117689469729216/88
LCM = 1337380337832
Thus, we can understand that the LCM of 616,814,677,692,501 is 1337380337832.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 616, 814, 677, 692, 501
1. What is the LCM of 616, 814, 677, 692, 501?
Answer: LCM of 616, 814, 677, 692, 501 is 1337380337832.
2. How to calculate the LCM of 616, 814, 677, 692, 501?
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 616, 814, 677, 692, 501.
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}.