LCM of 735, 312, 601, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 312, 601, 973 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 735, 312, 601, 973. So, keep reading to learn more.
Given numbers are 735,312,601,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,312,601,973 is 6385721160.
Find LCM of 735,312,601,973 with Prime Factorization
| 3 | 735, 312, 601, 973 |
| 7 | 245, 104, 601, 973 |
| 35, 104, 601, 139 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 35 x 104 x 601 x 139 = 6385721160
Therefore, the lowest common multiple of 735,312,601,973 is 6385721160.
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.
735 x 312 x 601 x 973 = 134100144360
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
601 : 1, 601
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,312,601,973, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
312:2x 2x 2x 3x 13
601:601
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 134100144360/(1x21)
LCM = 134100144360/21
LCM = 6385721160
Thus, we can understand that the LCM of 735,312,601,973 is 6385721160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 312, 601, 973
1. What is the LCM of 735, 312, 601, 973?
Answer: LCM of 735, 312, 601, 973 is 6385721160.
2. How to calculate the LCM of 735, 312, 601, 973?
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 735, 312, 601, 973.
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}.