LCM of 140, 668, 676, 130, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 668, 676, 130, 501 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 140, 668, 676, 130, 501. So, keep reading to learn more.
Given numbers are 140,668,676,130,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,668,676,130,501 is 11853660.
Find LCM of 140,668,676,130,501 with Prime Factorization
| 2 | 140, 668, 676, 130, 501 |
| 2 | 70, 334, 338, 65, 501 |
| 5 | 35, 167, 169, 65, 501 |
| 13 | 7, 167, 169, 13, 501 |
| 167 | 7, 167, 1, 13, 501 |
| 7, 1, 1, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 167 x 7 x 1 x 1 x 13 x 3 = 11853660
Therefore, the lowest common multiple of 140,668,676,130,501 is 11853660.
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.
140 x 668 x 676 x 130 x 501 = 4117487337600
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
668 : 1, 2, 4, 167, 334, 668
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
130 : 1, 2, 5, 10, 13, 26, 65, 130
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,668,676,130,501, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
668:2x 2x 167
676:2x 2x 13x 13
130:2x 5x 13
501:3x 167
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 5x 13x 167 = 347360
Therefore, the value for common factors is 347360.
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 = 4117487337600/(1x347360)
LCM = 4117487337600/347360
LCM = 11853660
Thus, we can understand that the LCM of 140,668,676,130,501 is 11853660.
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FAQs on LCM of 140, 668, 676, 130, 501
1. What is the LCM of 140, 668, 676, 130, 501?
Answer: LCM of 140, 668, 676, 130, 501 is 11853660.
2. How to calculate the LCM of 140, 668, 676, 130, 501?
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 140, 668, 676, 130, 501.
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}.