LCM of 988, 564, 564, 112, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 564, 564, 112, 764 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 988, 564, 564, 112, 764. So, keep reading to learn more.
Given numbers are 988,564,564,112,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,564,564,112,764 is 745019184.
Find LCM of 988,564,564,112,764 with Prime Factorization
| 2 | 988, 564, 564, 112, 764 |
| 2 | 494, 282, 282, 56, 382 |
| 3 | 247, 141, 141, 28, 191 |
| 47 | 247, 47, 47, 28, 191 |
| 247, 1, 1, 28, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 247 x 1 x 1 x 28 x 191 = 745019184
Therefore, the lowest common multiple of 988,564,564,112,764 is 745019184.
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.
988 x 564 x 564 x 112 x 764 = 26892212465664
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
764 : 1, 2, 4, 191, 382, 764
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,564,564,112,764, is 4.
Now, the common factors can be found like this.
988:2x 2x 13x 19
564:2x 2x 3x 47
564:2x 2x 3x 47
112:2x 2x 2x 2x 7
764:2x 2x 191
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 3x 47 = 9024
Therefore, the value for common factors is 9024.
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 = 26892212465664/(4x9024)
LCM = 26892212465664/36096
LCM = 745019184
Thus, we can understand that the LCM of 988,564,564,112,764 is 745019184.
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FAQs on LCM of 988, 564, 564, 112, 764
1. What is the LCM of 988, 564, 564, 112, 764?
Answer: LCM of 988, 564, 564, 112, 764 is 745019184.
2. How to calculate the LCM of 988, 564, 564, 112, 764?
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 988, 564, 564, 112, 764.
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}.