LCM of 964, 334, 723, 650, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 334, 723, 650, 574 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 964, 334, 723, 650, 574. So, keep reading to learn more.
Given numbers are 964,334,723,650,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,334,723,650,574 is 45048467100.
Find LCM of 964,334,723,650,574 with Prime Factorization
| 2 | 964, 334, 723, 650, 574 |
| 241 | 482, 167, 723, 325, 287 |
| 2, 167, 3, 325, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 241 x 2 x 167 x 3 x 325 x 287 = 45048467100
Therefore, the lowest common multiple of 964,334,723,650,574 is 45048467100.
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.
964 x 334 x 723 x 650 x 574 = 86853444568800
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.
964 : 1, 2, 4, 241, 482, 964
334 : 1, 2, 167, 334
723 : 1, 3, 241, 723
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,334,723,650,574, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
334:2x 167
723:3x 241
650:2x 5x 5x 13
574:2x 7x 41
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 241 = 1928
Therefore, the value for common factors is 1928.
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 = 86853444568800/(1x1928)
LCM = 86853444568800/1928
LCM = 45048467100
Thus, we can understand that the LCM of 964,334,723,650,574 is 45048467100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 334, 723, 650, 574
1. What is the LCM of 964, 334, 723, 650, 574?
Answer: LCM of 964, 334, 723, 650, 574 is 45048467100.
2. How to calculate the LCM of 964, 334, 723, 650, 574?
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 964, 334, 723, 650, 574.
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}.