LCM of 732, 506, 714, 576, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 506, 714, 576, 862 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, 714, 576, 862. So, keep reading to learn more.
Given numbers are 732,506,714,576,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,506,714,576,862 is 455928846912.
Find LCM of 732,506,714,576,862 with Prime Factorization
| 2 | 732, 506, 714, 576, 862 |
| 2 | 366, 253, 357, 288, 431 |
| 3 | 183, 253, 357, 144, 431 |
| 61, 253, 119, 48, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 253 x 119 x 48 x 431 = 455928846912
Therefore, the lowest common multiple of 732,506,714,576,862 is 455928846912.
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 714 x 576 x 862 = 131307507910656
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
862 : 1, 2, 431, 862
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,506,714,576,862, is 2.
Now, the common factors can be found like this.
732:2x 2x 3x 61
506:2x 11x 23
714:2x 3x 7x 17
576:2x 2x 2x 2x 2x 2x 3x 3
862:2x 431
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 131307507910656/(2x144)
LCM = 131307507910656/288
LCM = 455928846912
Thus, we can understand that the LCM of 732,506,714,576,862 is 455928846912.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 732, 506, 714, 576, 862
1. What is the LCM of 732, 506, 714, 576, 862?
Answer: LCM of 732, 506, 714, 576, 862 is 455928846912.
2. How to calculate the LCM of 732, 506, 714, 576, 862?
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, 714, 576, 862.
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}.