LCM of 973, 618, 945, 650, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 618, 945, 650, 767 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 973, 618, 945, 650, 767. So, keep reading to learn more.
Given numbers are 973,618,945,650,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,618,945,650,767 is 103771763550.
Find LCM of 973,618,945,650,767 with Prime Factorization
| 2 | 973, 618, 945, 650, 767 |
| 3 | 973, 309, 945, 325, 767 |
| 5 | 973, 103, 315, 325, 767 |
| 7 | 973, 103, 63, 65, 767 |
| 13 | 139, 103, 9, 65, 767 |
| 139, 103, 9, 5, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 139 x 103 x 9 x 5 x 59 = 103771763550
Therefore, the lowest common multiple of 973,618,945,650,767 is 103771763550.
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.
973 x 618 x 945 x 650 x 767 = 283296914491500
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.
973 : 1, 7, 139, 973
618 : 1, 2, 3, 6, 103, 206, 309, 618
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,618,945,650,767, is 1.
Now, the common factors can be found like this.
973:7x 139
618:2x 3x 103
945:3x 3x 3x 5x 7
650:2x 5x 5x 13
767:13x 59
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 5x 7x 13 = 2730
Therefore, the value for common factors is 2730.
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 = 283296914491500/(1x2730)
LCM = 283296914491500/2730
LCM = 103771763550
Thus, we can understand that the LCM of 973,618,945,650,767 is 103771763550.
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FAQs on LCM of 973, 618, 945, 650, 767
1. What is the LCM of 973, 618, 945, 650, 767?
Answer: LCM of 973, 618, 945, 650, 767 is 103771763550.
2. How to calculate the LCM of 973, 618, 945, 650, 767?
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 973, 618, 945, 650, 767.
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}.