LCM of 694, 869, 748, 237
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 869, 748, 237 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, 869, 748, 237. So, keep reading to learn more.
Given numbers are 694,869,748,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,869,748,237 is 61514772.
Find LCM of 694,869,748,237 with Prime Factorization
| 2 | 694, 869, 748, 237 |
| 11 | 347, 869, 374, 237 |
| 79 | 347, 79, 34, 237 |
| 347, 1, 34, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 79 x 347 x 1 x 34 x 3 = 61514772
Therefore, the lowest common multiple of 694,869,748,237 is 61514772.
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 869 x 748 x 237 = 106912673736
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
869 : 1, 11, 79, 869
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,869,748,237, is 1.
Now, the common factors can be found like this.
694:2x 347
869:11x 79
748:2x 2x 11x 17
237:3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 79 = 1738
Therefore, the value for common factors is 1738.
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 = 106912673736/(1x1738)
LCM = 106912673736/1738
LCM = 61514772
Thus, we can understand that the LCM of 694,869,748,237 is 61514772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 869, 748, 237
1. What is the LCM of 694, 869, 748, 237?
Answer: LCM of 694, 869, 748, 237 is 61514772.
2. How to calculate the LCM of 694, 869, 748, 237?
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, 869, 748, 237.
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}.