LCM of 694, 699, 740, 233
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 699, 740, 233 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 694, 699, 740, 233. So, keep reading to learn more.
Given numbers are 694,699,740,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,699,740,233 is 179489220.
Find LCM of 694,699,740,233 with Prime Factorization
| 2 | 694, 699, 740, 233 |
| 233 | 347, 699, 370, 233 |
| 347, 3, 370, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 233 x 347 x 3 x 370 x 1 = 179489220
Therefore, the lowest common multiple of 694,699,740,233 is 179489220.
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.
694 x 699 x 740 x 233 = 83641976520
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.
694 : 1, 2, 347, 694
699 : 1, 3, 233, 699
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,699,740,233, is 1.
Now, the common factors can be found like this.
694:2x 347
699:3x 233
740:2x 2x 5x 37
233:233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 233 = 466
Therefore, the value for common factors is 466.
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 = 83641976520/(1x466)
LCM = 83641976520/466
LCM = 179489220
Thus, we can understand that the LCM of 694,699,740,233 is 179489220.
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FAQs on LCM of 694, 699, 740, 233
1. What is the LCM of 694, 699, 740, 233?
Answer: LCM of 694, 699, 740, 233 is 179489220.
2. How to calculate the LCM of 694, 699, 740, 233?
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 694, 699, 740, 233.
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}.