LCM of 118, 238, 699, 540, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 238, 699, 540, 668 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 118, 238, 699, 540, 668. So, keep reading to learn more.
Given numbers are 118,238,699,540,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,238,699,540,668 is 147524830740.
Find LCM of 118,238,699,540,668 with Prime Factorization
| 2 | 118, 238, 699, 540, 668 |
| 2 | 59, 119, 699, 270, 334 |
| 3 | 59, 119, 699, 135, 167 |
| 59, 119, 233, 45, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 119 x 233 x 45 x 167 = 147524830740
Therefore, the lowest common multiple of 118,238,699,540,668 is 147524830740.
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.
118 x 238 x 699 x 540 x 668 = 7081191875520
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.
118 : 1, 2, 59, 118
238 : 1, 2, 7, 14, 17, 34, 119, 238
699 : 1, 3, 233, 699
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,238,699,540,668, is 1.
Now, the common factors can be found like this.
118:2x 59
238:2x 7x 17
699:3x 233
540:2x 2x 3x 3x 3x 5
668:2x 2x 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 3 = 48
Therefore, the value for common factors is 48.
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 = 7081191875520/(1x48)
LCM = 7081191875520/48
LCM = 147524830740
Thus, we can understand that the LCM of 118,238,699,540,668 is 147524830740.
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FAQs on LCM of 118, 238, 699, 540, 668
1. What is the LCM of 118, 238, 699, 540, 668?
Answer: LCM of 118, 238, 699, 540, 668 is 147524830740.
2. How to calculate the LCM of 118, 238, 699, 540, 668?
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 118, 238, 699, 540, 668.
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}.