Find the LCM of 992, 708, 552, 759, 504 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 992, 708, 552, 759, 504. So, keep reading to learn more.
Given numbers are 992,708,552,759,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,708,552,759,504 is 932877792.
Find LCM of 992,708,552,759,504 with Prime Factorization
2 | 992, 708, 552, 759, 504 |
2 | 496, 354, 276, 759, 252 |
2 | 248, 177, 138, 759, 126 |
3 | 124, 177, 69, 759, 63 |
23 | 124, 59, 23, 253, 21 |
124, 59, 1, 11, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 124 x 59 x 1 x 11 x 21 = 932877792
Therefore, the lowest common multiple of 992,708,552,759,504 is 932877792.
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.
992 x 708 x 552 x 759 x 504 = 148305179860992
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
759 : 1, 3, 11, 23, 33, 69, 253, 759
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,708,552,759,504, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
708:2x 2x 3x 59
552:2x 2x 2x 3x 23
759:3x 11x 23
504:2x 2x 2x 3x 3x 7
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 2x 2x 2x 3x 3x 3x 23 = 158976
Therefore, the value for common factors is 158976.
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 = 148305179860992/(1x158976)
LCM = 148305179860992/158976
LCM = 932877792
Thus, we can understand that the LCM of 992,708,552,759,504 is 932877792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 992, 708, 552, 759, 504?
Answer: LCM of 992, 708, 552, 759, 504 is 932877792.
2. How to calculate the LCM of 992, 708, 552, 759, 504?
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 992, 708, 552, 759, 504.
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}.