LCM of 767, 988, 807, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 988, 807, 627 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, 988, 807, 627. So, keep reading to learn more.
Given numbers are 767,988,807,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,988,807,627 is 517458084.
Find LCM of 767,988,807,627 with Prime Factorization
| 3 | 767, 988, 807, 627 |
| 13 | 767, 988, 269, 209 |
| 19 | 59, 76, 269, 209 |
| 59, 4, 269, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 59 x 4 x 269 x 11 = 517458084
Therefore, the lowest common multiple of 767,988,807,627 is 517458084.
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 988 x 807 x 627 = 383436440244
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
807 : 1, 3, 269, 807
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,988,807,627, is 1.
Now, the common factors can be found like this.
767:13x 59
988:2x 2x 13x 19
807:3x 269
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 19 = 741
Therefore, the value for common factors is 741.
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 = 383436440244/(1x741)
LCM = 383436440244/741
LCM = 517458084
Thus, we can understand that the LCM of 767,988,807,627 is 517458084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 767, 988, 807, 627
1. What is the LCM of 767, 988, 807, 627?
Answer: LCM of 767, 988, 807, 627 is 517458084.
2. How to calculate the LCM of 767, 988, 807, 627?
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, 988, 807, 627.
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}.