LCM of 302, 623, 238, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 623, 238, 714 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 302, 623, 238, 714. So, keep reading to learn more.
Given numbers are 302,623,238,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,623,238,714 is 9595446.
Find LCM of 302,623,238,714 with Prime Factorization
| 2 | 302, 623, 238, 714 |
| 7 | 151, 623, 119, 357 |
| 17 | 151, 89, 17, 51 |
| 151, 89, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 151 x 89 x 1 x 3 = 9595446
Therefore, the lowest common multiple of 302,623,238,714 is 9595446.
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.
302 x 623 x 238 x 714 = 31972026072
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.
302 : 1, 2, 151, 302
623 : 1, 7, 89, 623
238 : 1, 2, 7, 14, 17, 34, 119, 238
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,623,238,714, is 1.
Now, the common factors can be found like this.
302:2x 151
623:7x 89
238:2x 7x 17
714:2x 3x 7x 17
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 7x 7x 17 = 3332
Therefore, the value for common factors is 3332.
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 = 31972026072/(1x3332)
LCM = 31972026072/3332
LCM = 9595446
Thus, we can understand that the LCM of 302,623,238,714 is 9595446.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 302, 623, 238, 714
1. What is the LCM of 302, 623, 238, 714?
Answer: LCM of 302, 623, 238, 714 is 9595446.
2. How to calculate the LCM of 302, 623, 238, 714?
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 302, 623, 238, 714.
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}.