LCM of 732, 506, 428, 963, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 506, 428, 963, 804 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 732, 506, 428, 963, 804. So, keep reading to learn more.
Given numbers are 732,506,428,963,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,506,428,963,804 is 3983010372.
Find LCM of 732,506,428,963,804 with Prime Factorization
| 2 | 732, 506, 428, 963, 804 |
| 2 | 366, 253, 214, 963, 402 |
| 3 | 183, 253, 107, 963, 201 |
| 107 | 61, 253, 107, 321, 67 |
| 61, 253, 1, 3, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 61 x 253 x 1 x 3 x 67 = 3983010372
Therefore, the lowest common multiple of 732,506,428,963,804 is 3983010372.
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.
732 x 506 x 428 x 963 x 804 = 122740447623552
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
506 : 1, 2, 11, 22, 23, 46, 253, 506
428 : 1, 2, 4, 107, 214, 428
963 : 1, 3, 9, 107, 321, 963
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,506,428,963,804, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
506:2x 11x 23
428:2x 2x 107
963:3x 3x 107
804:2x 2x 3x 67
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 2x 2x 3x 3x 107 = 30816
Therefore, the value for common factors is 30816.
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 = 122740447623552/(1x30816)
LCM = 122740447623552/30816
LCM = 3983010372
Thus, we can understand that the LCM of 732,506,428,963,804 is 3983010372.
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FAQs on LCM of 732, 506, 428, 963, 804
1. What is the LCM of 732, 506, 428, 963, 804?
Answer: LCM of 732, 506, 428, 963, 804 is 3983010372.
2. How to calculate the LCM of 732, 506, 428, 963, 804?
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 732, 506, 428, 963, 804.
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}.