LCM of 187, 654, 309, 562, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 654, 309, 562, 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 187, 654, 309, 562, 140. So, keep reading to learn more.
Given numbers are 187,654,309,562,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,654,309,562,140 is 247776970980.
Find LCM of 187,654,309,562,140 with Prime Factorization
| 2 | 187, 654, 309, 562, 140 |
| 3 | 187, 327, 309, 281, 70 |
| 187, 109, 103, 281, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 187 x 109 x 103 x 281 x 70 = 247776970980
Therefore, the lowest common multiple of 187,654,309,562,140 is 247776970980.
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.
187 x 654 x 309 x 562 x 140 = 2973323651760
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.
187 : 1, 11, 17, 187
654 : 1, 2, 3, 6, 109, 218, 327, 654
309 : 1, 3, 103, 309
562 : 1, 2, 281, 562
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,654,309,562,140, is 1.
Now, the common factors can be found like this.
187:11x 17
654:2x 3x 109
309:3x 103
562:2x 281
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 3 = 12
Therefore, the value for common factors is 12.
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 = 2973323651760/(1x12)
LCM = 2973323651760/12
LCM = 247776970980
Thus, we can understand that the LCM of 187,654,309,562,140 is 247776970980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 654, 309, 562, 140
1. What is the LCM of 187, 654, 309, 562, 140?
Answer: LCM of 187, 654, 309, 562, 140 is 247776970980.
2. How to calculate the LCM of 187, 654, 309, 562, 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 187, 654, 309, 562, 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}.