LCM of 162, 748, 884, 584, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 748, 884, 584, 140 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 162, 748, 884, 584, 140. So, keep reading to learn more.
Given numbers are 162,748,884,584,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,748,884,584,140 is 4024860840.
Find LCM of 162,748,884,584,140 with Prime Factorization
| 2 | 162, 748, 884, 584, 140 |
| 2 | 81, 374, 442, 292, 70 |
| 17 | 81, 187, 221, 146, 35 |
| 81, 11, 13, 146, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 81 x 11 x 13 x 146 x 35 = 4024860840
Therefore, the lowest common multiple of 162,748,884,584,140 is 4024860840.
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.
162 x 748 x 884 x 584 x 140 = 8758097187840
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
584 : 1, 2, 4, 8, 73, 146, 292, 584
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,748,884,584,140, is 2.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
748:2x 2x 11x 17
884:2x 2x 13x 17
584:2x 2x 2x 73
140:2x 2x 5x 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 17 = 1088
Therefore, the value for common factors is 1088.
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 = 8758097187840/(2x1088)
LCM = 8758097187840/2176
LCM = 4024860840
Thus, we can understand that the LCM of 162,748,884,584,140 is 4024860840.
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FAQs on LCM of 162, 748, 884, 584, 140
1. What is the LCM of 162, 748, 884, 584, 140?
Answer: LCM of 162, 748, 884, 584, 140 is 4024860840.
2. How to calculate the LCM of 162, 748, 884, 584, 140?
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 162, 748, 884, 584, 140.
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}.