LCM of 158, 192, 840, 140, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 192, 840, 140, 869 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 158, 192, 840, 140, 869. So, keep reading to learn more.
Given numbers are 158,192,840,140,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,192,840,140,869 is 5839680.
Find LCM of 158,192,840,140,869 with Prime Factorization
| 2 | 158, 192, 840, 140, 869 |
| 2 | 79, 96, 420, 70, 869 |
| 2 | 79, 48, 210, 35, 869 |
| 3 | 79, 24, 105, 35, 869 |
| 5 | 79, 8, 35, 35, 869 |
| 7 | 79, 8, 7, 7, 869 |
| 79 | 79, 8, 1, 1, 869 |
| 1, 8, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 79 x 1 x 8 x 1 x 1 x 11 = 5839680
Therefore, the lowest common multiple of 158,192,840,140,869 is 5839680.
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.
158 x 192 x 840 x 140 x 869 = 3100169318400
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.
158 : 1, 2, 79, 158
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,192,840,140,869, is 1.
Now, the common factors can be found like this.
158:2x 79
192:2x 2x 2x 2x 2x 2x 3
840:2x 2x 2x 3x 5x 7
140:2x 2x 5x 7
869:11x 79
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 5x 7x 79 = 530880
Therefore, the value for common factors is 530880.
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 = 3100169318400/(1x530880)
LCM = 3100169318400/530880
LCM = 5839680
Thus, we can understand that the LCM of 158,192,840,140,869 is 5839680.
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FAQs on LCM of 158, 192, 840, 140, 869
1. What is the LCM of 158, 192, 840, 140, 869?
Answer: LCM of 158, 192, 840, 140, 869 is 5839680.
2. How to calculate the LCM of 158, 192, 840, 140, 869?
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 158, 192, 840, 140, 869.
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}.