LCM of 373, 214, 524, 299, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 214, 524, 299, 143 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 373, 214, 524, 299, 143. So, keep reading to learn more.
Given numbers are 373,214,524,299,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,214,524,299,143 is 68784054196.
Find LCM of 373,214,524,299,143 with Prime Factorization
| 2 | 373, 214, 524, 299, 143 |
| 13 | 373, 107, 262, 299, 143 |
| 373, 107, 262, 23, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 373 x 107 x 262 x 23 x 11 = 68784054196
Therefore, the lowest common multiple of 373,214,524,299,143 is 68784054196.
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.
373 x 214 x 524 x 299 x 143 = 1788385409096
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.
373 : 1, 373
214 : 1, 2, 107, 214
524 : 1, 2, 4, 131, 262, 524
299 : 1, 13, 23, 299
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,214,524,299,143, is 1.
Now, the common factors can be found like this.
373:373
214:2x 107
524:2x 2x 131
299:13x 23
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 1788385409096/(1x26)
LCM = 1788385409096/26
LCM = 68784054196
Thus, we can understand that the LCM of 373,214,524,299,143 is 68784054196.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 373, 214, 524, 299, 143
1. What is the LCM of 373, 214, 524, 299, 143?
Answer: LCM of 373, 214, 524, 299, 143 is 68784054196.
2. How to calculate the LCM of 373, 214, 524, 299, 143?
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 373, 214, 524, 299, 143.
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}.