LCM of 767, 210, 997, 621, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 210, 997, 621, 874 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 767, 210, 997, 621, 874. So, keep reading to learn more.
Given numbers are 767,210,997,621,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,210,997,621,874 is 631587845070.
Find LCM of 767,210,997,621,874 with Prime Factorization
| 2 | 767, 210, 997, 621, 874 |
| 3 | 767, 105, 997, 621, 437 |
| 23 | 767, 35, 997, 207, 437 |
| 767, 35, 997, 9, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 767 x 35 x 997 x 9 x 19 = 631587845070
Therefore, the lowest common multiple of 767,210,997,621,874 is 631587845070.
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.
767 x 210 x 997 x 621 x 874 = 87159122619660
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.
767 : 1, 13, 59, 767
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
997 : 1, 997
621 : 1, 3, 9, 23, 27, 69, 207, 621
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,210,997,621,874, is 1.
Now, the common factors can be found like this.
767:13x 59
210:2x 3x 5x 7
997:997
621:3x 3x 3x 23
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 87159122619660/(1x138)
LCM = 87159122619660/138
LCM = 631587845070
Thus, we can understand that the LCM of 767,210,997,621,874 is 631587845070.
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FAQs on LCM of 767, 210, 997, 621, 874
1. What is the LCM of 767, 210, 997, 621, 874?
Answer: LCM of 767, 210, 997, 621, 874 is 631587845070.
2. How to calculate the LCM of 767, 210, 997, 621, 874?
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 767, 210, 997, 621, 874.
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}.